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Finding the Third Proportional to 322,409 and 758,354

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Solution

The third proportional to 322,409 and 758,354 is: 1,783,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,409 : 758,354 = 758,354 : x
  2. Step 2: Convert to fraction form
    322,409/758,354 = 758,354/x
  3. Step 3: Cross multiply
    322,409x = 758,354 × 758,354
  4. Step 4: Simplify right side
    322,409x = 575,100,789,316
  5. Step 5: Solve for x
    x = 575,100,789,316/322,409
  6. Step 6: Final answer
    x = 1,783,761.59

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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.