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Finding the Third Proportional to 330,083.75 and 703,766.50

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Solution

The third proportional to 330,083.75 and 703,766.50 is: 1,500,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,083.75 : 703,766.50 = 703,766.50 : x
  2. Step 2: Convert to fraction form
    330,083.75/703,766.50 = 703,766.50/x
  3. Step 3: Cross multiply
    330,083.75x = 703,766.50 × 703,766.50
  4. Step 4: Simplify right side
    330,083.75x = 495,287,286,522.25
  5. Step 5: Solve for x
    x = 495,287,286,522.25/330,083.75
  6. Step 6: Final answer
    x = 1,500,489.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.