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Finding the Third Proportional to 393,696 and 592,044.75

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Solution

The third proportional to 393,696 and 592,044.75 is: 890,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,696 : 592,044.75 = 592,044.75 : x
  2. Step 2: Convert to fraction form
    393,696/592,044.75 = 592,044.75/x
  3. Step 3: Cross multiply
    393,696x = 592,044.75 × 592,044.75
  4. Step 4: Simplify right side
    393,696x = 350,516,986,002.56
  5. Step 5: Solve for x
    x = 350,516,986,002.56/393,696
  6. Step 6: Final answer
    x = 890,323.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.