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Finding the Third Proportional to 532,982 and 704,217

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Solution

The third proportional to 532,982 and 704,217 is: 930,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,982 : 704,217 = 704,217 : x
  2. Step 2: Convert to fraction form
    532,982/704,217 = 704,217/x
  3. Step 3: Cross multiply
    532,982x = 704,217 × 704,217
  4. Step 4: Simplify right side
    532,982x = 495,921,583,089
  5. Step 5: Solve for x
    x = 495,921,583,089/532,982
  6. Step 6: Final answer
    x = 930,465.91

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.