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Finding the Third Proportional to 232,566 and 506,667

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Solution

The third proportional to 232,566 and 506,667 is: 1,103,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,566 : 506,667 = 506,667 : x
  2. Step 2: Convert to fraction form
    232,566/506,667 = 506,667/x
  3. Step 3: Cross multiply
    232,566x = 506,667 × 506,667
  4. Step 4: Simplify right side
    232,566x = 256,711,448,889
  5. Step 5: Solve for x
    x = 256,711,448,889/232,566
  6. Step 6: Final answer
    x = 1,103,821.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.