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Finding the Third Proportional to 621.42 and 1,282.08

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Solution

The third proportional to 621.42 and 1,282.08 is: 2,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.42 : 1,282.08 = 1,282.08 : x
  2. Step 2: Convert to fraction form
    621.42/1,282.08 = 1,282.08/x
  3. Step 3: Cross multiply
    621.42x = 1,282.08 × 1,282.08
  4. Step 4: Simplify right side
    621.42x = 1,643,724.32
  5. Step 5: Solve for x
    x = 1,643,724.32/621.42
  6. Step 6: Final answer
    x = 2,645.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.