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Finding the Third Proportional to 360,585.75 and 771,198.75

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Solution

The third proportional to 360,585.75 and 771,198.75 is: 1,649,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,585.75 : 771,198.75 = 771,198.75 : x
  2. Step 2: Convert to fraction form
    360,585.75/771,198.75 = 771,198.75/x
  3. Step 3: Cross multiply
    360,585.75x = 771,198.75 × 771,198.75
  4. Step 4: Simplify right side
    360,585.75x = 594,747,512,001.56
  5. Step 5: Solve for x
    x = 594,747,512,001.56/360,585.75
  6. Step 6: Final answer
    x = 1,649,392.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.