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Finding the Third Proportional to 653,129.25 and 960,489

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Solution

The third proportional to 653,129.25 and 960,489 is: 1,412,490.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,129.25 : 960,489 = 960,489 : x
  2. Step 2: Convert to fraction form
    653,129.25/960,489 = 960,489/x
  3. Step 3: Cross multiply
    653,129.25x = 960,489 × 960,489
  4. Step 4: Simplify right side
    653,129.25x = 922,539,119,121
  5. Step 5: Solve for x
    x = 922,539,119,121/653,129.25
  6. Step 6: Final answer
    x = 1,412,490.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.