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Finding the Third Proportional to 531.75 and 1,177.13

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Solution

The third proportional to 531.75 and 1,177.13 is: 2,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.75 : 1,177.13 = 1,177.13 : x
  2. Step 2: Convert to fraction form
    531.75/1,177.13 = 1,177.13/x
  3. Step 3: Cross multiply
    531.75x = 1,177.13 × 1,177.13
  4. Step 4: Simplify right side
    531.75x = 1,385,623.27
  5. Step 5: Solve for x
    x = 1,385,623.27/531.75
  6. Step 6: Final answer
    x = 2,605.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.