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Finding the Third Proportional to 478.75 and 1,014.13

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Solution

The third proportional to 478.75 and 1,014.13 is: 2,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.75 : 1,014.13 = 1,014.13 : x
  2. Step 2: Convert to fraction form
    478.75/1,014.13 = 1,014.13/x
  3. Step 3: Cross multiply
    478.75x = 1,014.13 × 1,014.13
  4. Step 4: Simplify right side
    478.75x = 1,028,449.52
  5. Step 5: Solve for x
    x = 1,028,449.52/478.75
  6. Step 6: Final answer
    x = 2,148.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.