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Finding the Third Proportional to 311,734.13 and 502,026.75

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Solution

The third proportional to 311,734.13 and 502,026.75 is: 808,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,734.13 : 502,026.75 = 502,026.75 : x
  2. Step 2: Convert to fraction form
    311,734.13/502,026.75 = 502,026.75/x
  3. Step 3: Cross multiply
    311,734.13x = 502,026.75 × 502,026.75
  4. Step 4: Simplify right side
    311,734.13x = 252,030,857,715.56
  5. Step 5: Solve for x
    x = 252,030,857,715.56/311,734.13
  6. Step 6: Final answer
    x = 808,480.17

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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.