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Finding the Third Proportional to 360,115.88 and 773,608.50

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Solution

The third proportional to 360,115.88 and 773,608.50 is: 1,661,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,115.88 : 773,608.50 = 773,608.50 : x
  2. Step 2: Convert to fraction form
    360,115.88/773,608.50 = 773,608.50/x
  3. Step 3: Cross multiply
    360,115.88x = 773,608.50 × 773,608.50
  4. Step 4: Simplify right side
    360,115.88x = 598,470,111,272.25
  5. Step 5: Solve for x
    x = 598,470,111,272.25/360,115.88
  6. Step 6: Final answer
    x = 1,661,882.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.