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Finding the Third Proportional to 472.71 and 1,034.65

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Solution

The third proportional to 472.71 and 1,034.65 is: 2,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.71 : 1,034.65 = 1,034.65 : x
  2. Step 2: Convert to fraction form
    472.71/1,034.65 = 1,034.65/x
  3. Step 3: Cross multiply
    472.71x = 1,034.65 × 1,034.65
  4. Step 4: Simplify right side
    472.71x = 1,070,497.39
  5. Step 5: Solve for x
    x = 1,070,497.39/472.71
  6. Step 6: Final answer
    x = 2,264.59

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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.