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Finding the Third Proportional to 440,228.67 and 700,280.44

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Solution

The third proportional to 440,228.67 and 700,280.44 is: 1,113,949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,228.67 : 700,280.44 = 700,280.44 : x
  2. Step 2: Convert to fraction form
    440,228.67/700,280.44 = 700,280.44/x
  3. Step 3: Cross multiply
    440,228.67x = 700,280.44 × 700,280.44
  4. Step 4: Simplify right side
    440,228.67x = 490,392,691,145.19
  5. Step 5: Solve for x
    x = 490,392,691,145.19/440,228.67
  6. Step 6: Final answer
    x = 1,113,949.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.