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Finding the Third Proportional to 356,846 and 769,396

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Solution

The third proportional to 356,846 and 769,396 is: 1,658,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,846 : 769,396 = 769,396 : x
  2. Step 2: Convert to fraction form
    356,846/769,396 = 769,396/x
  3. Step 3: Cross multiply
    356,846x = 769,396 × 769,396
  4. Step 4: Simplify right side
    356,846x = 591,970,204,816
  5. Step 5: Solve for x
    x = 591,970,204,816/356,846
  6. Step 6: Final answer
    x = 1,658,895.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.