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Finding the Third Proportional to 317,536 and 432,432

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Solution

The third proportional to 317,536 and 432,432 is: 588,901.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,536 : 432,432 = 432,432 : x
  2. Step 2: Convert to fraction form
    317,536/432,432 = 432,432/x
  3. Step 3: Cross multiply
    317,536x = 432,432 × 432,432
  4. Step 4: Simplify right side
    317,536x = 186,997,434,624
  5. Step 5: Solve for x
    x = 186,997,434,624/317,536
  6. Step 6: Final answer
    x = 588,901.52

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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.