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Finding the Third Proportional to 317,466 and 432,327

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Solution

The third proportional to 317,466 and 432,327 is: 588,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,466 : 432,327 = 432,327 : x
  2. Step 2: Convert to fraction form
    317,466/432,327 = 432,327/x
  3. Step 3: Cross multiply
    317,466x = 432,327 × 432,327
  4. Step 4: Simplify right side
    317,466x = 186,906,634,929
  5. Step 5: Solve for x
    x = 186,906,634,929/317,466
  6. Step 6: Final answer
    x = 588,745.36

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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.