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Finding the Third Proportional to 329,694 and 706,044

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Solution

The third proportional to 329,694 and 706,044 is: 1,512,002.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,694 : 706,044 = 706,044 : x
  2. Step 2: Convert to fraction form
    329,694/706,044 = 706,044/x
  3. Step 3: Cross multiply
    329,694x = 706,044 × 706,044
  4. Step 4: Simplify right side
    329,694x = 498,498,129,936
  5. Step 5: Solve for x
    x = 498,498,129,936/329,694
  6. Step 6: Final answer
    x = 1,512,002.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.