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Finding the Third Proportional to 627,382.50 and 946,960.50

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Solution

The third proportional to 627,382.50 and 946,960.50 is: 1,429,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,382.50 : 946,960.50 = 946,960.50 : x
  2. Step 2: Convert to fraction form
    627,382.50/946,960.50 = 946,960.50/x
  3. Step 3: Cross multiply
    627,382.50x = 946,960.50 × 946,960.50
  4. Step 4: Simplify right side
    627,382.50x = 896,734,188,560.25
  5. Step 5: Solve for x
    x = 896,734,188,560.25/627,382.50
  6. Step 6: Final answer
    x = 1,429,326.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.