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Finding the Third Proportional to 471.76 and 1,034.65

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Solution

The third proportional to 471.76 and 1,034.65 is: 2,269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.76 : 1,034.65 = 1,034.65 : x
  2. Step 2: Convert to fraction form
    471.76/1,034.65 = 1,034.65/x
  3. Step 3: Cross multiply
    471.76x = 1,034.65 × 1,034.65
  4. Step 4: Simplify right side
    471.76x = 1,070,497.39
  5. Step 5: Solve for x
    x = 1,070,497.39/471.76
  6. Step 6: Final answer
    x = 2,269.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.