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Finding the Third Proportional to 333,399 and 502,974

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Solution

The third proportional to 333,399 and 502,974 is: 758,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,399 : 502,974 = 502,974 : x
  2. Step 2: Convert to fraction form
    333,399/502,974 = 502,974/x
  3. Step 3: Cross multiply
    333,399x = 502,974 × 502,974
  4. Step 4: Simplify right side
    333,399x = 252,982,844,676
  5. Step 5: Solve for x
    x = 252,982,844,676/333,399
  6. Step 6: Final answer
    x = 758,799.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.