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Finding the Third Proportional to 652.78 and 1,377.28

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Solution

The third proportional to 652.78 and 1,377.28 is: 2,905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.78 : 1,377.28 = 1,377.28 : x
  2. Step 2: Convert to fraction form
    652.78/1,377.28 = 1,377.28/x
  3. Step 3: Cross multiply
    652.78x = 1,377.28 × 1,377.28
  4. Step 4: Simplify right side
    652.78x = 1,896,903.64
  5. Step 5: Solve for x
    x = 1,896,903.64/652.78
  6. Step 6: Final answer
    x = 2,905.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.