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Finding the Third Proportional to 322,002 and 473,156

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Solution

The third proportional to 322,002 and 473,156 is: 695,264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,002 : 473,156 = 473,156 : x
  2. Step 2: Convert to fraction form
    322,002/473,156 = 473,156/x
  3. Step 3: Cross multiply
    322,002x = 473,156 × 473,156
  4. Step 4: Simplify right side
    322,002x = 223,876,600,336
  5. Step 5: Solve for x
    x = 223,876,600,336/322,002
  6. Step 6: Final answer
    x = 695,264.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.