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Finding the Third Proportional to 351,378 and 772,727

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Solution

The third proportional to 351,378 and 772,727 is: 1,699,329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,378 : 772,727 = 772,727 : x
  2. Step 2: Convert to fraction form
    351,378/772,727 = 772,727/x
  3. Step 3: Cross multiply
    351,378x = 772,727 × 772,727
  4. Step 4: Simplify right side
    351,378x = 597,107,016,529
  5. Step 5: Solve for x
    x = 597,107,016,529/351,378
  6. Step 6: Final answer
    x = 1,699,329.54

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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.