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Finding the Third Proportional to 240,048 and 517,275

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Solution

The third proportional to 240,048 and 517,275 is: 1,114,666.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,048 : 517,275 = 517,275 : x
  2. Step 2: Convert to fraction form
    240,048/517,275 = 517,275/x
  3. Step 3: Cross multiply
    240,048x = 517,275 × 517,275
  4. Step 4: Simplify right side
    240,048x = 267,573,425,625
  5. Step 5: Solve for x
    x = 267,573,425,625/240,048
  6. Step 6: Final answer
    x = 1,114,666.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.