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Finding the Third Proportional to 412,188.75 and 868,657.50

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Solution

The third proportional to 412,188.75 and 868,657.50 is: 1,830,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,188.75 : 868,657.50 = 868,657.50 : x
  2. Step 2: Convert to fraction form
    412,188.75/868,657.50 = 868,657.50/x
  3. Step 3: Cross multiply
    412,188.75x = 868,657.50 × 868,657.50
  4. Step 4: Simplify right side
    412,188.75x = 754,565,852,306.25
  5. Step 5: Solve for x
    x = 754,565,852,306.25/412,188.75
  6. Step 6: Final answer
    x = 1,830,631.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.