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Finding the Third Proportional to 542,132 and 724,503

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Solution

The third proportional to 542,132 and 724,503 is: 968,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,132 : 724,503 = 724,503 : x
  2. Step 2: Convert to fraction form
    542,132/724,503 = 724,503/x
  3. Step 3: Cross multiply
    542,132x = 724,503 × 724,503
  4. Step 4: Simplify right side
    542,132x = 524,904,597,009
  5. Step 5: Solve for x
    x = 524,904,597,009/542,132
  6. Step 6: Final answer
    x = 968,222.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.