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Finding the Third Proportional to 377,003.25 and 780,250.50

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Solution

The third proportional to 377,003.25 and 780,250.50 is: 1,614,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,003.25 : 780,250.50 = 780,250.50 : x
  2. Step 2: Convert to fraction form
    377,003.25/780,250.50 = 780,250.50/x
  3. Step 3: Cross multiply
    377,003.25x = 780,250.50 × 780,250.50
  4. Step 4: Simplify right side
    377,003.25x = 608,790,842,750.25
  5. Step 5: Solve for x
    x = 608,790,842,750.25/377,003.25
  6. Step 6: Final answer
    x = 1,614,815.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.