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Finding the Third Proportional to 247,376 and 534,118

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Solution

The third proportional to 247,376 and 534,118 is: 1,153,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,376 : 534,118 = 534,118 : x
  2. Step 2: Convert to fraction form
    247,376/534,118 = 534,118/x
  3. Step 3: Cross multiply
    247,376x = 534,118 × 534,118
  4. Step 4: Simplify right side
    247,376x = 285,282,037,924
  5. Step 5: Solve for x
    x = 285,282,037,924/247,376
  6. Step 6: Final answer
    x = 1,153,232.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.