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Finding the Third Proportional to 311,931 and 502,348.50

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Solution

The third proportional to 311,931 and 502,348.50 is: 809,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,931 : 502,348.50 = 502,348.50 : x
  2. Step 2: Convert to fraction form
    311,931/502,348.50 = 502,348.50/x
  3. Step 3: Cross multiply
    311,931x = 502,348.50 × 502,348.50
  4. Step 4: Simplify right side
    311,931x = 252,354,015,452.25
  5. Step 5: Solve for x
    x = 252,354,015,452.25/311,931
  6. Step 6: Final answer
    x = 809,005.89

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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.