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Finding the Third Proportional to 240,432 and 522,336

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Solution

The third proportional to 240,432 and 522,336 is: 1,134,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,432 : 522,336 = 522,336 : x
  2. Step 2: Convert to fraction form
    240,432/522,336 = 522,336/x
  3. Step 3: Cross multiply
    240,432x = 522,336 × 522,336
  4. Step 4: Simplify right side
    240,432x = 272,834,896,896
  5. Step 5: Solve for x
    x = 272,834,896,896/240,432
  6. Step 6: Final answer
    x = 1,134,769.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.