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Finding the Third Proportional to 324,472.50 and 703,701

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Solution

The third proportional to 324,472.50 and 703,701 is: 1,526,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,472.50 : 703,701 = 703,701 : x
  2. Step 2: Convert to fraction form
    324,472.50/703,701 = 703,701/x
  3. Step 3: Cross multiply
    324,472.50x = 703,701 × 703,701
  4. Step 4: Simplify right side
    324,472.50x = 495,195,097,401
  5. Step 5: Solve for x
    x = 495,195,097,401/324,472.50
  6. Step 6: Final answer
    x = 1,526,154.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.