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Finding the Third Proportional to 457.31 and 545.06

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Solution

The third proportional to 457.31 and 545.06 is: 649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.31 : 545.06 = 545.06 : x
  2. Step 2: Convert to fraction form
    457.31/545.06 = 545.06/x
  3. Step 3: Cross multiply
    457.31x = 545.06 × 545.06
  4. Step 4: Simplify right side
    457.31x = 297,093.13
  5. Step 5: Solve for x
    x = 297,093.13/457.31
  6. Step 6: Final answer
    x = 649.65

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.