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Finding the Third Proportional to 438,322 and 593,979

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Solution

The third proportional to 438,322 and 593,979 is: 804,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,322 : 593,979 = 593,979 : x
  2. Step 2: Convert to fraction form
    438,322/593,979 = 593,979/x
  3. Step 3: Cross multiply
    438,322x = 593,979 × 593,979
  4. Step 4: Simplify right side
    438,322x = 352,811,052,441
  5. Step 5: Solve for x
    x = 352,811,052,441/438,322
  6. Step 6: Final answer
    x = 804,912.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.