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Finding the Third Proportional to 407,890.50 and 763,110

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Solution

The third proportional to 407,890.50 and 763,110 is: 1,427,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,890.50 : 763,110 = 763,110 : x
  2. Step 2: Convert to fraction form
    407,890.50/763,110 = 763,110/x
  3. Step 3: Cross multiply
    407,890.50x = 763,110 × 763,110
  4. Step 4: Simplify right side
    407,890.50x = 582,336,872,100
  5. Step 5: Solve for x
    x = 582,336,872,100/407,890.50
  6. Step 6: Final answer
    x = 1,427,679.42

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.