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Finding the Third Proportional to 416,703 and 885,750

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Solution

The third proportional to 416,703 and 885,750 is: 1,882,763.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,703 : 885,750 = 885,750 : x
  2. Step 2: Convert to fraction form
    416,703/885,750 = 885,750/x
  3. Step 3: Cross multiply
    416,703x = 885,750 × 885,750
  4. Step 4: Simplify right side
    416,703x = 784,553,062,500
  5. Step 5: Solve for x
    x = 784,553,062,500/416,703
  6. Step 6: Final answer
    x = 1,882,763.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.