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Finding the Third Proportional to 489.14 and 1,087.64

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Solution

The third proportional to 489.14 and 1,087.64 is: 2,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.14 : 1,087.64 = 1,087.64 : x
  2. Step 2: Convert to fraction form
    489.14/1,087.64 = 1,087.64/x
  3. Step 3: Cross multiply
    489.14x = 1,087.64 × 1,087.64
  4. Step 4: Simplify right side
    489.14x = 1,182,962.13
  5. Step 5: Solve for x
    x = 1,182,962.13/489.14
  6. Step 6: Final answer
    x = 2,418.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.