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Finding the Third Proportional to 247,657.50 and 542,781

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Solution

The third proportional to 247,657.50 and 542,781 is: 1,189,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,657.50 : 542,781 = 542,781 : x
  2. Step 2: Convert to fraction form
    247,657.50/542,781 = 542,781/x
  3. Step 3: Cross multiply
    247,657.50x = 542,781 × 542,781
  4. Step 4: Simplify right side
    247,657.50x = 294,611,213,961
  5. Step 5: Solve for x
    x = 294,611,213,961/247,657.50
  6. Step 6: Final answer
    x = 1,189,591.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.