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Finding the Third Proportional to 322,362 and 758,277

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Solution

The third proportional to 322,362 and 758,277 is: 1,783,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,362 : 758,277 = 758,277 : x
  2. Step 2: Convert to fraction form
    322,362/758,277 = 758,277/x
  3. Step 3: Cross multiply
    322,362x = 758,277 × 758,277
  4. Step 4: Simplify right side
    322,362x = 574,984,008,729
  5. Step 5: Solve for x
    x = 574,984,008,729/322,362
  6. Step 6: Final answer
    x = 1,783,659.39

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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.