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Finding the Third Proportional to 236,691 and 517,230

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Solution

The third proportional to 236,691 and 517,230 is: 1,130,279.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,691 : 517,230 = 517,230 : x
  2. Step 2: Convert to fraction form
    236,691/517,230 = 517,230/x
  3. Step 3: Cross multiply
    236,691x = 517,230 × 517,230
  4. Step 4: Simplify right side
    236,691x = 267,526,872,900
  5. Step 5: Solve for x
    x = 267,526,872,900/236,691
  6. Step 6: Final answer
    x = 1,130,279.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.