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Finding the Third Proportional to 311,836 and 502,206

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Solution

The third proportional to 311,836 and 502,206 is: 808,793.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,836 : 502,206 = 502,206 : x
  2. Step 2: Convert to fraction form
    311,836/502,206 = 502,206/x
  3. Step 3: Cross multiply
    311,836x = 502,206 × 502,206
  4. Step 4: Simplify right side
    311,836x = 252,210,866,436
  5. Step 5: Solve for x
    x = 252,210,866,436/311,836
  6. Step 6: Final answer
    x = 808,793.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.