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Finding the Third Proportional to 304,929 and 668,744

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Solution

The third proportional to 304,929 and 668,744 is: 1,466,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,929 : 668,744 = 668,744 : x
  2. Step 2: Convert to fraction form
    304,929/668,744 = 668,744/x
  3. Step 3: Cross multiply
    304,929x = 668,744 × 668,744
  4. Step 4: Simplify right side
    304,929x = 447,218,537,536
  5. Step 5: Solve for x
    x = 447,218,537,536/304,929
  6. Step 6: Final answer
    x = 1,466,631.70

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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.