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Finding the Third Proportional to 404,726 and 593,965

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Solution

The third proportional to 404,726 and 593,965 is: 871,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,726 : 593,965 = 593,965 : x
  2. Step 2: Convert to fraction form
    404,726/593,965 = 593,965/x
  3. Step 3: Cross multiply
    404,726x = 593,965 × 593,965
  4. Step 4: Simplify right side
    404,726x = 352,794,421,225
  5. Step 5: Solve for x
    x = 352,794,421,225/404,726
  6. Step 6: Final answer
    x = 871,687.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.