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Finding the Third Proportional to 361,824 and 788,004

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Solution

The third proportional to 361,824 and 788,004 is: 1,716,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,824 : 788,004 = 788,004 : x
  2. Step 2: Convert to fraction form
    361,824/788,004 = 788,004/x
  3. Step 3: Cross multiply
    361,824x = 788,004 × 788,004
  4. Step 4: Simplify right side
    361,824x = 620,950,304,016
  5. Step 5: Solve for x
    x = 620,950,304,016/361,824
  6. Step 6: Final answer
    x = 1,716,166.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.