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Finding the Third Proportional to 598,436.86 and 898,253.30

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Solution

The third proportional to 598,436.86 and 898,253.30 is: 1,348,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,436.86 : 898,253.30 = 898,253.30 : x
  2. Step 2: Convert to fraction form
    598,436.86/898,253.30 = 898,253.30/x
  3. Step 3: Cross multiply
    598,436.86x = 898,253.30 × 898,253.30
  4. Step 4: Simplify right side
    598,436.86x = 806,858,985,346.81
  5. Step 5: Solve for x
    x = 806,858,985,346.81/598,436.86
  6. Step 6: Final answer
    x = 1,348,277.55

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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.