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Finding the Third Proportional to 458.16 and 687.23

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Solution

The third proportional to 458.16 and 687.23 is: 1,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.16 : 687.23 = 687.23 : x
  2. Step 2: Convert to fraction form
    458.16/687.23 = 687.23/x
  3. Step 3: Cross multiply
    458.16x = 687.23 × 687.23
  4. Step 4: Simplify right side
    458.16x = 472,291.09
  5. Step 5: Solve for x
    x = 472,291.09/458.16
  6. Step 6: Final answer
    x = 1,030.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.