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Finding the Third Proportional to 240,513 and 519,540

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Solution

The third proportional to 240,513 and 519,540 is: 1,122,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,513 : 519,540 = 519,540 : x
  2. Step 2: Convert to fraction form
    240,513/519,540 = 519,540/x
  3. Step 3: Cross multiply
    240,513x = 519,540 × 519,540
  4. Step 4: Simplify right side
    240,513x = 269,921,811,600
  5. Step 5: Solve for x
    x = 269,921,811,600/240,513
  6. Step 6: Final answer
    x = 1,122,275.35

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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.