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Finding the Third Proportional to 598,360.92 and 898,150.78

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Solution

The third proportional to 598,360.92 and 898,150.78 is: 1,348,140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,360.92 : 898,150.78 = 898,150.78 : x
  2. Step 2: Convert to fraction form
    598,360.92/898,150.78 = 898,150.78/x
  3. Step 3: Cross multiply
    598,360.92x = 898,150.78 × 898,150.78
  4. Step 4: Simplify right side
    598,360.92x = 806,674,825,859.99
  5. Step 5: Solve for x
    x = 806,674,825,859.99/598,360.92
  6. Step 6: Final answer
    x = 1,348,140.89

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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.