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Finding the Third Proportional to 329,625 and 705,905

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Solution

The third proportional to 329,625 and 705,905 is: 1,511,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,625 : 705,905 = 705,905 : x
  2. Step 2: Convert to fraction form
    329,625/705,905 = 705,905/x
  3. Step 3: Cross multiply
    329,625x = 705,905 × 705,905
  4. Step 4: Simplify right side
    329,625x = 498,301,869,025
  5. Step 5: Solve for x
    x = 498,301,869,025/329,625
  6. Step 6: Final answer
    x = 1,511,723.53

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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.