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Finding the Third Proportional to 240,472 and 519,482

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Solution

The third proportional to 240,472 and 519,482 is: 1,122,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,472 : 519,482 = 519,482 : x
  2. Step 2: Convert to fraction form
    240,472/519,482 = 519,482/x
  3. Step 3: Cross multiply
    240,472x = 519,482 × 519,482
  4. Step 4: Simplify right side
    240,472x = 269,861,548,324
  5. Step 5: Solve for x
    x = 269,861,548,324/240,472
  6. Step 6: Final answer
    x = 1,122,216.09

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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.