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Finding the Third Proportional to 377,716.50 and 869,864.06

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Solution

The third proportional to 377,716.50 and 869,864.06 is: 2,003,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,716.50 : 869,864.06 = 869,864.06 : x
  2. Step 2: Convert to fraction form
    377,716.50/869,864.06 = 869,864.06/x
  3. Step 3: Cross multiply
    377,716.50x = 869,864.06 × 869,864.06
  4. Step 4: Simplify right side
    377,716.50x = 756,663,487,229.00
  5. Step 5: Solve for x
    x = 756,663,487,229.00/377,716.50
  6. Step 6: Final answer
    x = 2,003,257.70

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.