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Finding the Third Proportional to 537.05 and 724.57

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Solution

The third proportional to 537.05 and 724.57 is: 977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.05 : 724.57 = 724.57 : x
  2. Step 2: Convert to fraction form
    537.05/724.57 = 724.57/x
  3. Step 3: Cross multiply
    537.05x = 724.57 × 724.57
  4. Step 4: Simplify right side
    537.05x = 525,002.14
  5. Step 5: Solve for x
    x = 525,002.14/537.05
  6. Step 6: Final answer
    x = 977.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.