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Finding the Third Proportional to 322,482 and 753,048

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Solution

The third proportional to 322,482 and 753,048 is: 1,758,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,482 : 753,048 = 753,048 : x
  2. Step 2: Convert to fraction form
    322,482/753,048 = 753,048/x
  3. Step 3: Cross multiply
    322,482x = 753,048 × 753,048
  4. Step 4: Simplify right side
    322,482x = 567,081,290,304
  5. Step 5: Solve for x
    x = 567,081,290,304/322,482
  6. Step 6: Final answer
    x = 1,758,489.75

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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.