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Finding the Third Proportional to 416,730.66 and 908,983.69

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Solution

The third proportional to 416,730.66 and 908,983.69 is: 1,982,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,730.66 : 908,983.69 = 908,983.69 : x
  2. Step 2: Convert to fraction form
    416,730.66/908,983.69 = 908,983.69/x
  3. Step 3: Cross multiply
    416,730.66x = 908,983.69 × 908,983.69
  4. Step 4: Simplify right side
    416,730.66x = 826,251,344,141.10
  5. Step 5: Solve for x
    x = 826,251,344,141.10/416,730.66
  6. Step 6: Final answer
    x = 1,982,698.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.