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Finding the Third Proportional to 440,930.25 and 644,380.88

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Solution

The third proportional to 440,930.25 and 644,380.88 is: 941,706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,930.25 : 644,380.88 = 644,380.88 : x
  2. Step 2: Convert to fraction form
    440,930.25/644,380.88 = 644,380.88/x
  3. Step 3: Cross multiply
    440,930.25x = 644,380.88 × 644,380.88
  4. Step 4: Simplify right side
    440,930.25x = 415,226,712,065.77
  5. Step 5: Solve for x
    x = 415,226,712,065.77/440,930.25
  6. Step 6: Final answer
    x = 941,706.11

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.