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Finding the Third Proportional to 311,906 and 502,311

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Solution

The third proportional to 311,906 and 502,311 is: 808,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,906 : 502,311 = 502,311 : x
  2. Step 2: Convert to fraction form
    311,906/502,311 = 502,311/x
  3. Step 3: Cross multiply
    311,906x = 502,311 × 502,311
  4. Step 4: Simplify right side
    311,906x = 252,316,340,721
  5. Step 5: Solve for x
    x = 252,316,340,721/311,906
  6. Step 6: Final answer
    x = 808,949.94

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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.