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Finding the Third Proportional to 416,866.50 and 898,036.88

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Solution

The third proportional to 416,866.50 and 898,036.88 is: 1,934,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,866.50 : 898,036.88 = 898,036.88 : x
  2. Step 2: Convert to fraction form
    416,866.50/898,036.88 = 898,036.88/x
  3. Step 3: Cross multiply
    416,866.50x = 898,036.88 × 898,036.88
  4. Step 4: Simplify right side
    416,866.50x = 806,470,228,859.77
  5. Step 5: Solve for x
    x = 806,470,228,859.77/416,866.50
  6. Step 6: Final answer
    x = 1,934,600.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.