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Finding the Third Proportional to 355,057.17 and 731,016.14

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Solution

The third proportional to 355,057.17 and 731,016.14 is: 1,505,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,057.17 : 731,016.14 = 731,016.14 : x
  2. Step 2: Convert to fraction form
    355,057.17/731,016.14 = 731,016.14/x
  3. Step 3: Cross multiply
    355,057.17x = 731,016.14 × 731,016.14
  4. Step 4: Simplify right side
    355,057.17x = 534,384,597,854.27
  5. Step 5: Solve for x
    x = 534,384,597,854.27/355,057.17
  6. Step 6: Final answer
    x = 1,505,066.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.