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Finding the Third Proportional to 351,376 and 772,723

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Solution

The third proportional to 351,376 and 772,723 is: 1,699,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,376 : 772,723 = 772,723 : x
  2. Step 2: Convert to fraction form
    351,376/772,723 = 772,723/x
  3. Step 3: Cross multiply
    351,376x = 772,723 × 772,723
  4. Step 4: Simplify right side
    351,376x = 597,100,834,729
  5. Step 5: Solve for x
    x = 597,100,834,729/351,376
  6. Step 6: Final answer
    x = 1,699,321.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.