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Finding the Third Proportional to 322,488 and 753,063.75

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Solution

The third proportional to 322,488 and 753,063.75 is: 1,758,530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,488 : 753,063.75 = 753,063.75 : x
  2. Step 2: Convert to fraction form
    322,488/753,063.75 = 753,063.75/x
  3. Step 3: Cross multiply
    322,488x = 753,063.75 × 753,063.75
  4. Step 4: Simplify right side
    322,488x = 567,105,011,564.06
  5. Step 5: Solve for x
    x = 567,105,011,564.06/322,488
  6. Step 6: Final answer
    x = 1,758,530.59

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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.