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Finding the Third Proportional to 472 and 1,034

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Solution

The third proportional to 472 and 1,034 is: 2,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472 : 1,034 = 1,034 : x
  2. Step 2: Convert to fraction form
    472/1,034 = 1,034/x
  3. Step 3: Cross multiply
    472x = 1,034 × 1,034
  4. Step 4: Simplify right side
    472x = 1,069,156
  5. Step 5: Solve for x
    x = 1,069,156/472
  6. Step 6: Final answer
    x = 2,265.16

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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.