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Finding the Third Proportional to 317,544 and 432,443

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Solution

The third proportional to 317,544 and 432,443 is: 588,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,544 : 432,443 = 432,443 : x
  2. Step 2: Convert to fraction form
    317,544/432,443 = 432,443/x
  3. Step 3: Cross multiply
    317,544x = 432,443 × 432,443
  4. Step 4: Simplify right side
    317,544x = 187,006,948,249
  5. Step 5: Solve for x
    x = 187,006,948,249/317,544
  6. Step 6: Final answer
    x = 588,916.65

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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.