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Finding the Third Proportional to 244,904.13 and 378,271.27

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Solution

The third proportional to 244,904.13 and 378,271.27 is: 584,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,904.13 : 378,271.27 = 378,271.27 : x
  2. Step 2: Convert to fraction form
    244,904.13/378,271.27 = 378,271.27/x
  3. Step 3: Cross multiply
    244,904.13x = 378,271.27 × 378,271.27
  4. Step 4: Simplify right side
    244,904.13x = 143,089,150,397.54
  5. Step 5: Solve for x
    x = 143,089,150,397.54/244,904.13
  6. Step 6: Final answer
    x = 584,265.97

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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.