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Finding the Third Proportional to 372,219.75 and 788,314.50

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Solution

The third proportional to 372,219.75 and 788,314.50 is: 1,669,550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,219.75 : 788,314.50 = 788,314.50 : x
  2. Step 2: Convert to fraction form
    372,219.75/788,314.50 = 788,314.50/x
  3. Step 3: Cross multiply
    372,219.75x = 788,314.50 × 788,314.50
  4. Step 4: Simplify right side
    372,219.75x = 621,439,750,910.25
  5. Step 5: Solve for x
    x = 621,439,750,910.25/372,219.75
  6. Step 6: Final answer
    x = 1,669,550.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.