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Finding the Third Proportional to 322,521.75 and 483,904.13

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Solution

The third proportional to 322,521.75 and 483,904.13 is: 726,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,521.75 : 483,904.13 = 483,904.13 : x
  2. Step 2: Convert to fraction form
    322,521.75/483,904.13 = 483,904.13/x
  3. Step 3: Cross multiply
    322,521.75x = 483,904.13 × 483,904.13
  4. Step 4: Simplify right side
    322,521.75x = 234,163,202,192.02
  5. Step 5: Solve for x
    x = 234,163,202,192.02/322,521.75
  6. Step 6: Final answer
    x = 726,038.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.