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Finding the Third Proportional to 329,622 and 705,900

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Solution

The third proportional to 329,622 and 705,900 is: 1,511,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,622 : 705,900 = 705,900 : x
  2. Step 2: Convert to fraction form
    329,622/705,900 = 705,900/x
  3. Step 3: Cross multiply
    329,622x = 705,900 × 705,900
  4. Step 4: Simplify right side
    329,622x = 498,294,810,000
  5. Step 5: Solve for x
    x = 498,294,810,000/329,622
  6. Step 6: Final answer
    x = 1,511,715.87

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