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Finding the Third Proportional to 296,997.75 and 393,822

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Solution

The third proportional to 296,997.75 and 393,822 is: 522,211.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,997.75 : 393,822 = 393,822 : x
  2. Step 2: Convert to fraction form
    296,997.75/393,822 = 393,822/x
  3. Step 3: Cross multiply
    296,997.75x = 393,822 × 393,822
  4. Step 4: Simplify right side
    296,997.75x = 155,095,767,684
  5. Step 5: Solve for x
    x = 155,095,767,684/296,997.75
  6. Step 6: Final answer
    x = 522,211.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.