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Finding the Third Proportional to 267,380 and 570,841

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Solution

The third proportional to 267,380 and 570,841 is: 1,218,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,380 : 570,841 = 570,841 : x
  2. Step 2: Convert to fraction form
    267,380/570,841 = 570,841/x
  3. Step 3: Cross multiply
    267,380x = 570,841 × 570,841
  4. Step 4: Simplify right side
    267,380x = 325,859,447,281
  5. Step 5: Solve for x
    x = 325,859,447,281/267,380
  6. Step 6: Final answer
    x = 1,218,712.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.