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Finding the Third Proportional to 644,731.50 and 1,384,607.25

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Solution

The third proportional to 644,731.50 and 1,384,607.25 is: 2,973,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,731.50 : 1,384,607.25 = 1,384,607.25 : x
  2. Step 2: Convert to fraction form
    644,731.50/1,384,607.25 = 1,384,607.25/x
  3. Step 3: Cross multiply
    644,731.50x = 1,384,607.25 × 1,384,607.25
  4. Step 4: Simplify right side
    644,731.50x = 1,917,137,236,752.56
  5. Step 5: Solve for x
    x = 1,917,137,236,752.56/644,731.50
  6. Step 6: Final answer
    x = 2,973,543.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.