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Finding the Third Proportional to 460.31 and 1,001.44

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Solution

The third proportional to 460.31 and 1,001.44 is: 2,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.31 : 1,001.44 = 1,001.44 : x
  2. Step 2: Convert to fraction form
    460.31/1,001.44 = 1,001.44/x
  3. Step 3: Cross multiply
    460.31x = 1,001.44 × 1,001.44
  4. Step 4: Simplify right side
    460.31x = 1,002,877.07
  5. Step 5: Solve for x
    x = 1,002,877.07/460.31
  6. Step 6: Final answer
    x = 2,178.69

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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.