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Finding the Third Proportional to 327,056 and 705,724

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Solution

The third proportional to 327,056 and 705,724 is: 1,522,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,056 : 705,724 = 705,724 : x
  2. Step 2: Convert to fraction form
    327,056/705,724 = 705,724/x
  3. Step 3: Cross multiply
    327,056x = 705,724 × 705,724
  4. Step 4: Simplify right side
    327,056x = 498,046,364,176
  5. Step 5: Solve for x
    x = 498,046,364,176/327,056
  6. Step 6: Final answer
    x = 1,522,816.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.