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Finding the Third Proportional to 325,561 and 703,762

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Solution

The third proportional to 325,561 and 703,762 is: 1,521,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,561 : 703,762 = 703,762 : x
  2. Step 2: Convert to fraction form
    325,561/703,762 = 703,762/x
  3. Step 3: Cross multiply
    325,561x = 703,762 × 703,762
  4. Step 4: Simplify right side
    325,561x = 495,280,952,644
  5. Step 5: Solve for x
    x = 495,280,952,644/325,561
  6. Step 6: Final answer
    x = 1,521,315.37

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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.