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Finding the Third Proportional to 470.60 and 1,013.98

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Solution

The third proportional to 470.60 and 1,013.98 is: 2,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.60 : 1,013.98 = 1,013.98 : x
  2. Step 2: Convert to fraction form
    470.60/1,013.98 = 1,013.98/x
  3. Step 3: Cross multiply
    470.60x = 1,013.98 × 1,013.98
  4. Step 4: Simplify right side
    470.60x = 1,028,148.47
  5. Step 5: Solve for x
    x = 1,028,148.47/470.60
  6. Step 6: Final answer
    x = 2,184.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.