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Finding the Third Proportional to 598.22 and 1,248.75

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Solution

The third proportional to 598.22 and 1,248.75 is: 2,606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.22 : 1,248.75 = 1,248.75 : x
  2. Step 2: Convert to fraction form
    598.22/1,248.75 = 1,248.75/x
  3. Step 3: Cross multiply
    598.22x = 1,248.75 × 1,248.75
  4. Step 4: Simplify right side
    598.22x = 1,559,376.56
  5. Step 5: Solve for x
    x = 1,559,376.56/598.22
  6. Step 6: Final answer
    x = 2,606.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.