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Finding the Third Proportional to 573,397.13 and 910,947.19

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Solution

The third proportional to 573,397.13 and 910,947.19 is: 1,447,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,397.13 : 910,947.19 = 910,947.19 : x
  2. Step 2: Convert to fraction form
    573,397.13/910,947.19 = 910,947.19/x
  3. Step 3: Cross multiply
    573,397.13x = 910,947.19 × 910,947.19
  4. Step 4: Simplify right side
    573,397.13x = 829,824,778,414.16
  5. Step 5: Solve for x
    x = 829,824,778,414.16/573,397.13
  6. Step 6: Final answer
    x = 1,447,207.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.