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Finding the Third Proportional to 598,335.50 and 898,115.25

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Solution

The third proportional to 598,335.50 and 898,115.25 is: 1,348,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,335.50 : 898,115.25 = 898,115.25 : x
  2. Step 2: Convert to fraction form
    598,335.50/898,115.25 = 898,115.25/x
  3. Step 3: Cross multiply
    598,335.50x = 898,115.25 × 898,115.25
  4. Step 4: Simplify right side
    598,335.50x = 806,611,002,282.56
  5. Step 5: Solve for x
    x = 806,611,002,282.56/598,335.50
  6. Step 6: Final answer
    x = 1,348,091.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.