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Finding the Third Proportional to 285,401.25 and 614,947.50

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Solution

The third proportional to 285,401.25 and 614,947.50 is: 1,325,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,401.25 : 614,947.50 = 614,947.50 : x
  2. Step 2: Convert to fraction form
    285,401.25/614,947.50 = 614,947.50/x
  3. Step 3: Cross multiply
    285,401.25x = 614,947.50 × 614,947.50
  4. Step 4: Simplify right side
    285,401.25x = 378,160,427,756.25
  5. Step 5: Solve for x
    x = 378,160,427,756.25/285,401.25
  6. Step 6: Final answer
    x = 1,325,013.21

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