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Finding the Third Proportional to 301,597,271.44 and 650,830,683.38

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Solution

The third proportional to 301,597,271.44 and 650,830,683.38 is: 1,404,457,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,597,271.44 : 650,830,683.38 = 650,830,683.38 : x
  2. Step 2: Convert to fraction form
    301,597,271.44/650,830,683.38 = 650,830,683.38/x
  3. Step 3: Cross multiply
    301,597,271.44x = 650,830,683.38 × 650,830,683.38
  4. Step 4: Simplify right side
    301,597,271.44x = 423,580,578,422,369,472
  5. Step 5: Solve for x
    x = 423,580,578,422,369,472/301,597,271.44
  6. Step 6: Final answer
    x = 1,404,457,594.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.