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Finding the Third Proportional to 377,207.63 and 813,221.25

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Solution

The third proportional to 377,207.63 and 813,221.25 is: 1,753,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,207.63 : 813,221.25 = 813,221.25 : x
  2. Step 2: Convert to fraction form
    377,207.63/813,221.25 = 813,221.25/x
  3. Step 3: Cross multiply
    377,207.63x = 813,221.25 × 813,221.25
  4. Step 4: Simplify right side
    377,207.63x = 661,328,801,451.56
  5. Step 5: Solve for x
    x = 661,328,801,451.56/377,207.63
  6. Step 6: Final answer
    x = 1,753,222.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.