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Finding the Third Proportional to 449.25 and 540

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Solution

The third proportional to 449.25 and 540 is: 649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.25 : 540 = 540 : x
  2. Step 2: Convert to fraction form
    449.25/540 = 540/x
  3. Step 3: Cross multiply
    449.25x = 540 × 540
  4. Step 4: Simplify right side
    449.25x = 291,600
  5. Step 5: Solve for x
    x = 291,600/449.25
  6. Step 6: Final answer
    x = 649.08

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.