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Finding the Third Proportional to 329,552 and 705,760

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Solution

The third proportional to 329,552 and 705,760 is: 1,511,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,552 : 705,760 = 705,760 : x
  2. Step 2: Convert to fraction form
    329,552/705,760 = 705,760/x
  3. Step 3: Cross multiply
    329,552x = 705,760 × 705,760
  4. Step 4: Simplify right side
    329,552x = 498,097,177,600
  5. Step 5: Solve for x
    x = 498,097,177,600/329,552
  6. Step 6: Final answer
    x = 1,511,437.28

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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.