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Finding the Third Proportional to 449.88 and 597.88

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Solution

The third proportional to 449.88 and 597.88 is: 794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.88 : 597.88 = 597.88 : x
  2. Step 2: Convert to fraction form
    449.88/597.88 = 597.88/x
  3. Step 3: Cross multiply
    449.88x = 597.88 × 597.88
  4. Step 4: Simplify right side
    449.88x = 357,454.52
  5. Step 5: Solve for x
    x = 357,454.52/449.88
  6. Step 6: Final answer
    x = 794.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.