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Finding the Third Proportional to 402,931.97 and 547,547.34

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Solution

The third proportional to 402,931.97 and 547,547.34 is: 744,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,931.97 : 547,547.34 = 547,547.34 : x
  2. Step 2: Convert to fraction form
    402,931.97/547,547.34 = 547,547.34/x
  3. Step 3: Cross multiply
    402,931.97x = 547,547.34 × 547,547.34
  4. Step 4: Simplify right side
    402,931.97x = 299,808,093,647.68
  5. Step 5: Solve for x
    x = 299,808,093,647.68/402,931.97
  6. Step 6: Final answer
    x = 744,066.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.