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Finding the Third Proportional to 408,002 and 633,315

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Solution

The third proportional to 408,002 and 633,315 is: 983,053.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,002 : 633,315 = 633,315 : x
  2. Step 2: Convert to fraction form
    408,002/633,315 = 633,315/x
  3. Step 3: Cross multiply
    408,002x = 633,315 × 633,315
  4. Step 4: Simplify right side
    408,002x = 401,087,889,225
  5. Step 5: Solve for x
    x = 401,087,889,225/408,002
  6. Step 6: Final answer
    x = 983,053.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.