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Finding the Third Proportional to 317,546 and 432,446

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Solution

The third proportional to 317,546 and 432,446 is: 588,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,546 : 432,446 = 432,446 : x
  2. Step 2: Convert to fraction form
    317,546/432,446 = 432,446/x
  3. Step 3: Cross multiply
    317,546x = 432,446 × 432,446
  4. Step 4: Simplify right side
    317,546x = 187,009,542,916
  5. Step 5: Solve for x
    x = 187,009,542,916/317,546
  6. Step 6: Final answer
    x = 588,921.11

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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.