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Finding the Third Proportional to 457.75 and 670.88

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Solution

The third proportional to 457.75 and 670.88 is: 983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.75 : 670.88 = 670.88 : x
  2. Step 2: Convert to fraction form
    457.75/670.88 = 670.88/x
  3. Step 3: Cross multiply
    457.75x = 670.88 × 670.88
  4. Step 4: Simplify right side
    457.75x = 450,073.27
  5. Step 5: Solve for x
    x = 450,073.27/457.75
  6. Step 6: Final answer
    x = 983.23

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Why These Related Problems?

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