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Finding the Third Proportional to 478.63 and 1,013.88

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Solution

The third proportional to 478.63 and 1,013.88 is: 2,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.63 : 1,013.88 = 1,013.88 : x
  2. Step 2: Convert to fraction form
    478.63/1,013.88 = 1,013.88/x
  3. Step 3: Cross multiply
    478.63x = 1,013.88 × 1,013.88
  4. Step 4: Simplify right side
    478.63x = 1,027,942.52
  5. Step 5: Solve for x
    x = 1,027,942.52/478.63
  6. Step 6: Final answer
    x = 2,147.70

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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.