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Finding the Third Proportional to 232,976 and 547,664

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Solution

The third proportional to 232,976 and 547,664 is: 1,287,410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,976 : 547,664 = 547,664 : x
  2. Step 2: Convert to fraction form
    232,976/547,664 = 547,664/x
  3. Step 3: Cross multiply
    232,976x = 547,664 × 547,664
  4. Step 4: Simplify right side
    232,976x = 299,935,856,896
  5. Step 5: Solve for x
    x = 299,935,856,896/232,976
  6. Step 6: Final answer
    x = 1,287,410.96

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.