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Finding the Third Proportional to 458.81 and 1,000.31

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Solution

The third proportional to 458.81 and 1,000.31 is: 2,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.81 : 1,000.31 = 1,000.31 : x
  2. Step 2: Convert to fraction form
    458.81/1,000.31 = 1,000.31/x
  3. Step 3: Cross multiply
    458.81x = 1,000.31 × 1,000.31
  4. Step 4: Simplify right side
    458.81x = 1,000,625.10
  5. Step 5: Solve for x
    x = 1,000,625.10/458.81
  6. Step 6: Final answer
    x = 2,180.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.