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Finding the Third Proportional to 322,554 and 753,329

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Solution

The third proportional to 322,554 and 753,329 is: 1,759,409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,554 : 753,329 = 753,329 : x
  2. Step 2: Convert to fraction form
    322,554/753,329 = 753,329/x
  3. Step 3: Cross multiply
    322,554x = 753,329 × 753,329
  4. Step 4: Simplify right side
    322,554x = 567,504,582,241
  5. Step 5: Solve for x
    x = 567,504,582,241/322,554
  6. Step 6: Final answer
    x = 1,759,409.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.