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Finding the Third Proportional to 304,934 and 668,755

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Solution

The third proportional to 304,934 and 668,755 is: 1,466,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,934 : 668,755 = 668,755 : x
  2. Step 2: Convert to fraction form
    304,934/668,755 = 668,755/x
  3. Step 3: Cross multiply
    304,934x = 668,755 × 668,755
  4. Step 4: Simplify right side
    304,934x = 447,233,250,025
  5. Step 5: Solve for x
    x = 447,233,250,025/304,934
  6. Step 6: Final answer
    x = 1,466,655.90

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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.