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Finding the Third Proportional to 244,761.75 and 378,259.88

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Solution

The third proportional to 244,761.75 and 378,259.88 is: 584,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,761.75 : 378,259.88 = 378,259.88 : x
  2. Step 2: Convert to fraction form
    244,761.75/378,259.88 = 378,259.88/x
  3. Step 3: Cross multiply
    244,761.75x = 378,259.88 × 378,259.88
  4. Step 4: Simplify right side
    244,761.75x = 143,080,533,035.02
  5. Step 5: Solve for x
    x = 143,080,533,035.02/244,761.75
  6. Step 6: Final answer
    x = 584,570.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.