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Finding the Third Proportional to 329,634 and 705,924

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Solution

The third proportional to 329,634 and 705,924 is: 1,511,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,634 : 705,924 = 705,924 : x
  2. Step 2: Convert to fraction form
    329,634/705,924 = 705,924/x
  3. Step 3: Cross multiply
    329,634x = 705,924 × 705,924
  4. Step 4: Simplify right side
    329,634x = 498,328,693,776
  5. Step 5: Solve for x
    x = 498,328,693,776/329,634
  6. Step 6: Final answer
    x = 1,511,763.63

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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.