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Finding the Third Proportional to 301,188 and 441,723

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Solution

The third proportional to 301,188 and 441,723 is: 647,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,188 : 441,723 = 441,723 : x
  2. Step 2: Convert to fraction form
    301,188/441,723 = 441,723/x
  3. Step 3: Cross multiply
    301,188x = 441,723 × 441,723
  4. Step 4: Simplify right side
    301,188x = 195,119,208,729
  5. Step 5: Solve for x
    x = 195,119,208,729/301,188
  6. Step 6: Final answer
    x = 647,831.95

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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.