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Finding the Third Proportional to 361,824 and 531,888

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Solution

The third proportional to 361,824 and 531,888 is: 781,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,824 : 531,888 = 531,888 : x
  2. Step 2: Convert to fraction form
    361,824/531,888 = 531,888/x
  3. Step 3: Cross multiply
    361,824x = 531,888 × 531,888
  4. Step 4: Simplify right side
    361,824x = 282,904,844,544
  5. Step 5: Solve for x
    x = 282,904,844,544/361,824
  6. Step 6: Final answer
    x = 781,885.24

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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.