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Finding the Third Proportional to 602.25 and 898.25

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Solution

The third proportional to 602.25 and 898.25 is: 1,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.25 : 898.25 = 898.25 : x
  2. Step 2: Convert to fraction form
    602.25/898.25 = 898.25/x
  3. Step 3: Cross multiply
    602.25x = 898.25 × 898.25
  4. Step 4: Simplify right side
    602.25x = 806,853.06
  5. Step 5: Solve for x
    x = 806,853.06/602.25
  6. Step 6: Final answer
    x = 1,339.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.