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Finding the Third Proportional to 325,572 and 703,782

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Solution

The third proportional to 325,572 and 703,782 is: 1,521,350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,572 : 703,782 = 703,782 : x
  2. Step 2: Convert to fraction form
    325,572/703,782 = 703,782/x
  3. Step 3: Cross multiply
    325,572x = 703,782 × 703,782
  4. Step 4: Simplify right side
    325,572x = 495,309,103,524
  5. Step 5: Solve for x
    x = 495,309,103,524/325,572
  6. Step 6: Final answer
    x = 1,521,350.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.