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Finding the Third Proportional to 635,024 and 862,432

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Solution

The third proportional to 635,024 and 862,432 is: 1,171,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,024 : 862,432 = 862,432 : x
  2. Step 2: Convert to fraction form
    635,024/862,432 = 862,432/x
  3. Step 3: Cross multiply
    635,024x = 862,432 × 862,432
  4. Step 4: Simplify right side
    635,024x = 743,788,954,624
  5. Step 5: Solve for x
    x = 743,788,954,624/635,024
  6. Step 6: Final answer
    x = 1,171,276.92

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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.