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Finding the Third Proportional to 408,747.75 and 896,227.50

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Solution

The third proportional to 408,747.75 and 896,227.50 is: 1,965,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,747.75 : 896,227.50 = 896,227.50 : x
  2. Step 2: Convert to fraction form
    408,747.75/896,227.50 = 896,227.50/x
  3. Step 3: Cross multiply
    408,747.75x = 896,227.50 × 896,227.50
  4. Step 4: Simplify right side
    408,747.75x = 803,223,731,756.25
  5. Step 5: Solve for x
    x = 803,223,731,756.25/408,747.75
  6. Step 6: Final answer
    x = 1,965,084.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.