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Finding the Third Proportional to 652.88 and 1,427.44

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Solution

The third proportional to 652.88 and 1,427.44 is: 3,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.88 : 1,427.44 = 1,427.44 : x
  2. Step 2: Convert to fraction form
    652.88/1,427.44 = 1,427.44/x
  3. Step 3: Cross multiply
    652.88x = 1,427.44 × 1,427.44
  4. Step 4: Simplify right side
    652.88x = 2,037,577.82
  5. Step 5: Solve for x
    x = 2,037,577.82/652.88
  6. Step 6: Final answer
    x = 3,120.93

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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.