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Finding the Third Proportional to 301,597,272 and 650,830,685

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Solution

The third proportional to 301,597,272 and 650,830,685 is: 1,404,457,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,597,272 : 650,830,685 = 650,830,685 : x
  2. Step 2: Convert to fraction form
    301,597,272/650,830,685 = 650,830,685/x
  3. Step 3: Cross multiply
    301,597,272x = 650,830,685 × 650,830,685
  4. Step 4: Simplify right side
    301,597,272x = 423,580,580,537,569,216
  5. Step 5: Solve for x
    x = 423,580,580,537,569,216/301,597,272
  6. Step 6: Final answer
    x = 1,404,457,599.13

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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.