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Finding the Third Proportional to 652.03 and 1,414.64

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Solution

The third proportional to 652.03 and 1,414.64 is: 3,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.03 : 1,414.64 = 1,414.64 : x
  2. Step 2: Convert to fraction form
    652.03/1,414.64 = 1,414.64/x
  3. Step 3: Cross multiply
    652.03x = 1,414.64 × 1,414.64
  4. Step 4: Simplify right side
    652.03x = 2,001,208.10
  5. Step 5: Solve for x
    x = 2,001,208.10/652.03
  6. Step 6: Final answer
    x = 3,069.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.