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Finding the Third Proportional to 332 and 488.31

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Solution

The third proportional to 332 and 488.31 is: 718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    332 : 488.31 = 488.31 : x
  2. Step 2: Convert to fraction form
    332/488.31 = 488.31/x
  3. Step 3: Cross multiply
    332x = 488.31 × 488.31
  4. Step 4: Simplify right side
    332x = 238,449.10
  5. Step 5: Solve for x
    x = 238,449.10/332
  6. Step 6: Final answer
    x = 718.22

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.