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Finding the Third Proportional to 361,816 and 531,872

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Solution

The third proportional to 361,816 and 531,872 is: 781,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,816 : 531,872 = 531,872 : x
  2. Step 2: Convert to fraction form
    361,816/531,872 = 531,872/x
  3. Step 3: Cross multiply
    361,816x = 531,872 × 531,872
  4. Step 4: Simplify right side
    361,816x = 282,887,824,384
  5. Step 5: Solve for x
    x = 282,887,824,384/361,816
  6. Step 6: Final answer
    x = 781,855.49

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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.