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Finding the Third Proportional to 374,224 and 820,206

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Solution

The third proportional to 374,224 and 820,206 is: 1,797,687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,224 : 820,206 = 820,206 : x
  2. Step 2: Convert to fraction form
    374,224/820,206 = 820,206/x
  3. Step 3: Cross multiply
    374,224x = 820,206 × 820,206
  4. Step 4: Simplify right side
    374,224x = 672,737,882,436
  5. Step 5: Solve for x
    x = 672,737,882,436/374,224
  6. Step 6: Final answer
    x = 1,797,687.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.