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Finding the Third Proportional to 232,706 and 482,692

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Solution

The third proportional to 232,706 and 482,692 is: 1,001,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,706 : 482,692 = 482,692 : x
  2. Step 2: Convert to fraction form
    232,706/482,692 = 482,692/x
  3. Step 3: Cross multiply
    232,706x = 482,692 × 482,692
  4. Step 4: Simplify right side
    232,706x = 232,991,566,864
  5. Step 5: Solve for x
    x = 232,991,566,864/232,706
  6. Step 6: Final answer
    x = 1,001,227.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.