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Finding the Third Proportional to 514.55 and 562.92

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Solution

The third proportional to 514.55 and 562.92 is: 615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.55 : 562.92 = 562.92 : x
  2. Step 2: Convert to fraction form
    514.55/562.92 = 562.92/x
  3. Step 3: Cross multiply
    514.55x = 562.92 × 562.92
  4. Step 4: Simplify right side
    514.55x = 316,881.04
  5. Step 5: Solve for x
    x = 316,881.04/514.55
  6. Step 6: Final answer
    x = 615.84

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.