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Finding the Third Proportional to 404,734 and 593,978

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Solution

The third proportional to 404,734 and 593,978 is: 871,708.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,734 : 593,978 = 593,978 : x
  2. Step 2: Convert to fraction form
    404,734/593,978 = 593,978/x
  3. Step 3: Cross multiply
    404,734x = 593,978 × 593,978
  4. Step 4: Simplify right side
    404,734x = 352,809,864,484
  5. Step 5: Solve for x
    x = 352,809,864,484/404,734
  6. Step 6: Final answer
    x = 871,708.00

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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.