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Finding the Third Proportional to 240,474 and 519,486

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Solution

The third proportional to 240,474 and 519,486 is: 1,122,224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,474 : 519,486 = 519,486 : x
  2. Step 2: Convert to fraction form
    240,474/519,486 = 519,486/x
  3. Step 3: Cross multiply
    240,474x = 519,486 × 519,486
  4. Step 4: Simplify right side
    240,474x = 269,865,704,196
  5. Step 5: Solve for x
    x = 269,865,704,196/240,474
  6. Step 6: Final answer
    x = 1,122,224.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.