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Finding the Third Proportional to 616.36 and 1,352.00

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Solution

The third proportional to 616.36 and 1,352.00 is: 2,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.36 : 1,352.00 = 1,352.00 : x
  2. Step 2: Convert to fraction form
    616.36/1,352.00 = 1,352.00/x
  3. Step 3: Cross multiply
    616.36x = 1,352.00 × 1,352.00
  4. Step 4: Simplify right side
    616.36x = 1,827,914.56
  5. Step 5: Solve for x
    x = 1,827,914.56/616.36
  6. Step 6: Final answer
    x = 2,965.66

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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.