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Finding the Third Proportional to 240,066 and 517,348

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Solution

The third proportional to 240,066 and 517,348 is: 1,114,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,066 : 517,348 = 517,348 : x
  2. Step 2: Convert to fraction form
    240,066/517,348 = 517,348/x
  3. Step 3: Cross multiply
    240,066x = 517,348 × 517,348
  4. Step 4: Simplify right side
    240,066x = 267,648,953,104
  5. Step 5: Solve for x
    x = 267,648,953,104/240,066
  6. Step 6: Final answer
    x = 1,114,897.37

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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.