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Finding the Third Proportional to 207,417.38 and 452,377.13

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Solution

The third proportional to 207,417.38 and 452,377.13 is: 986,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,417.38 : 452,377.13 = 452,377.13 : x
  2. Step 2: Convert to fraction form
    207,417.38/452,377.13 = 452,377.13/x
  3. Step 3: Cross multiply
    207,417.38x = 452,377.13 × 452,377.13
  4. Step 4: Simplify right side
    207,417.38x = 204,645,063,223.27
  5. Step 5: Solve for x
    x = 204,645,063,223.27/207,417.38
  6. Step 6: Final answer
    x = 986,634.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.