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Finding the Third Proportional to 304,932 and 668,751

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Solution

The third proportional to 304,932 and 668,751 is: 1,466,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,932 : 668,751 = 668,751 : x
  2. Step 2: Convert to fraction form
    304,932/668,751 = 668,751/x
  3. Step 3: Cross multiply
    304,932x = 668,751 × 668,751
  4. Step 4: Simplify right side
    304,932x = 447,227,900,001
  5. Step 5: Solve for x
    x = 447,227,900,001/304,932
  6. Step 6: Final answer
    x = 1,466,647.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.