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Finding the Third Proportional to 267,977.63 and 588,460.13

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Solution

The third proportional to 267,977.63 and 588,460.13 is: 1,292,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,977.63 : 588,460.13 = 588,460.13 : x
  2. Step 2: Convert to fraction form
    267,977.63/588,460.13 = 588,460.13/x
  3. Step 3: Cross multiply
    267,977.63x = 588,460.13 × 588,460.13
  4. Step 4: Simplify right side
    267,977.63x = 346,285,318,715.02
  5. Step 5: Solve for x
    x = 346,285,318,715.02/267,977.63
  6. Step 6: Final answer
    x = 1,292,217.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.