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Finding the Third Proportional to 616.88 and 1,427.06

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Solution

The third proportional to 616.88 and 1,427.06 is: 3,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.88 : 1,427.06 = 1,427.06 : x
  2. Step 2: Convert to fraction form
    616.88/1,427.06 = 1,427.06/x
  3. Step 3: Cross multiply
    616.88x = 1,427.06 × 1,427.06
  4. Step 4: Simplify right side
    616.88x = 2,036,507.38
  5. Step 5: Solve for x
    x = 2,036,507.38/616.88
  6. Step 6: Final answer
    x = 3,301.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.