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Finding the Third Proportional to 247,634 and 542,737

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Solution

The third proportional to 247,634 and 542,737 is: 1,189,511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,634 : 542,737 = 542,737 : x
  2. Step 2: Convert to fraction form
    247,634/542,737 = 542,737/x
  3. Step 3: Cross multiply
    247,634x = 542,737 × 542,737
  4. Step 4: Simplify right side
    247,634x = 294,563,451,169
  5. Step 5: Solve for x
    x = 294,563,451,169/247,634
  6. Step 6: Final answer
    x = 1,189,511.34

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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.