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Finding the Third Proportional to 232,540 and 492,751

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Solution

The third proportional to 232,540 and 492,751 is: 1,044,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,540 : 492,751 = 492,751 : x
  2. Step 2: Convert to fraction form
    232,540/492,751 = 492,751/x
  3. Step 3: Cross multiply
    232,540x = 492,751 × 492,751
  4. Step 4: Simplify right side
    232,540x = 242,803,548,001
  5. Step 5: Solve for x
    x = 242,803,548,001/232,540
  6. Step 6: Final answer
    x = 1,044,136.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.