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Finding the Third Proportional to 322,359 and 758,268

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Solution

The third proportional to 322,359 and 758,268 is: 1,783,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,359 : 758,268 = 758,268 : x
  2. Step 2: Convert to fraction form
    322,359/758,268 = 758,268/x
  3. Step 3: Cross multiply
    322,359x = 758,268 × 758,268
  4. Step 4: Simplify right side
    322,359x = 574,970,359,824
  5. Step 5: Solve for x
    x = 574,970,359,824/322,359
  6. Step 6: Final answer
    x = 1,783,633.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.