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Finding the Third Proportional to 267,739 and 563,090

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Solution

The third proportional to 267,739 and 563,090 is: 1,184,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,739 : 563,090 = 563,090 : x
  2. Step 2: Convert to fraction form
    267,739/563,090 = 563,090/x
  3. Step 3: Cross multiply
    267,739x = 563,090 × 563,090
  4. Step 4: Simplify right side
    267,739x = 317,070,348,100
  5. Step 5: Solve for x
    x = 317,070,348,100/267,739
  6. Step 6: Final answer
    x = 1,184,251.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.