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Finding the Third Proportional to 411,772 and 625,650

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Solution

The third proportional to 411,772 and 625,650 is: 950,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,772 : 625,650 = 625,650 : x
  2. Step 2: Convert to fraction form
    411,772/625,650 = 625,650/x
  3. Step 3: Cross multiply
    411,772x = 625,650 × 625,650
  4. Step 4: Simplify right side
    411,772x = 391,437,922,500
  5. Step 5: Solve for x
    x = 391,437,922,500/411,772
  6. Step 6: Final answer
    x = 950,618.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.