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Finding the Third Proportional to 301,690.13 and 447,316.31

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Solution

The third proportional to 301,690.13 and 447,316.31 is: 663,236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,690.13 : 447,316.31 = 447,316.31 : x
  2. Step 2: Convert to fraction form
    301,690.13/447,316.31 = 447,316.31/x
  3. Step 3: Cross multiply
    301,690.13x = 447,316.31 × 447,316.31
  4. Step 4: Simplify right side
    301,690.13x = 200,091,883,428.60
  5. Step 5: Solve for x
    x = 200,091,883,428.60/301,690.13
  6. Step 6: Final answer
    x = 663,236.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.