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Finding the Third Proportional to 240,064 and 517,344

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Solution

The third proportional to 240,064 and 517,344 is: 1,114,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,064 : 517,344 = 517,344 : x
  2. Step 2: Convert to fraction form
    240,064/517,344 = 517,344/x
  3. Step 3: Cross multiply
    240,064x = 517,344 × 517,344
  4. Step 4: Simplify right side
    240,064x = 267,644,814,336
  5. Step 5: Solve for x
    x = 267,644,814,336/240,064
  6. Step 6: Final answer
    x = 1,114,889.42

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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.