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Finding the Third Proportional to 440,827.31 and 620,780.91

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Solution

The third proportional to 440,827.31 and 620,780.91 is: 874,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,827.31 : 620,780.91 = 620,780.91 : x
  2. Step 2: Convert to fraction form
    440,827.31/620,780.91 = 620,780.91/x
  3. Step 3: Cross multiply
    440,827.31x = 620,780.91 × 620,780.91
  4. Step 4: Simplify right side
    440,827.31x = 385,368,933,564.57
  5. Step 5: Solve for x
    x = 385,368,933,564.57/440,827.31
  6. Step 6: Final answer
    x = 874,194.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.