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Finding the Third Proportional to 288,775.13 and 444,439.69

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Solution

The third proportional to 288,775.13 and 444,439.69 is: 684,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,775.13 : 444,439.69 = 444,439.69 : x
  2. Step 2: Convert to fraction form
    288,775.13/444,439.69 = 444,439.69/x
  3. Step 3: Cross multiply
    288,775.13x = 444,439.69 × 444,439.69
  4. Step 4: Simplify right side
    288,775.13x = 197,526,635,825.10
  5. Step 5: Solve for x
    x = 197,526,635,825.10/288,775.13
  6. Step 6: Final answer
    x = 684,015.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.