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Finding the Third Proportional to 353,342 and 773,974

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Solution

The third proportional to 353,342 and 773,974 is: 1,695,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,342 : 773,974 = 773,974 : x
  2. Step 2: Convert to fraction form
    353,342/773,974 = 773,974/x
  3. Step 3: Cross multiply
    353,342x = 773,974 × 773,974
  4. Step 4: Simplify right side
    353,342x = 599,035,752,676
  5. Step 5: Solve for x
    x = 599,035,752,676/353,342
  6. Step 6: Final answer
    x = 1,695,342.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.