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Finding the Third Proportional to 267.47 and 577.34

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Solution

The third proportional to 267.47 and 577.34 is: 1,246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.47 : 577.34 = 577.34 : x
  2. Step 2: Convert to fraction form
    267.47/577.34 = 577.34/x
  3. Step 3: Cross multiply
    267.47x = 577.34 × 577.34
  4. Step 4: Simplify right side
    267.47x = 333,316.78
  5. Step 5: Solve for x
    x = 333,316.78/267.47
  6. Step 6: Final answer
    x = 1,246.19

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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.