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Finding the Third Proportional to 247,107 and 542,328

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Solution

The third proportional to 247,107 and 542,328 is: 1,190,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,107 : 542,328 = 542,328 : x
  2. Step 2: Convert to fraction form
    247,107/542,328 = 542,328/x
  3. Step 3: Cross multiply
    247,107x = 542,328 × 542,328
  4. Step 4: Simplify right side
    247,107x = 294,119,659,584
  5. Step 5: Solve for x
    x = 294,119,659,584/247,107
  6. Step 6: Final answer
    x = 1,190,252.24

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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.