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Finding the Third Proportional to 404,718 and 593,955

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Solution

The third proportional to 404,718 and 593,955 is: 871,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,718 : 593,955 = 593,955 : x
  2. Step 2: Convert to fraction form
    404,718/593,955 = 593,955/x
  3. Step 3: Cross multiply
    404,718x = 593,955 × 593,955
  4. Step 4: Simplify right side
    404,718x = 352,782,542,025
  5. Step 5: Solve for x
    x = 352,782,542,025/404,718
  6. Step 6: Final answer
    x = 871,674.95

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Why These Related Problems?

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