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Finding the Third Proportional to 404,963.63 and 886,198.88

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Solution

The third proportional to 404,963.63 and 886,198.88 is: 1,939,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,963.63 : 886,198.88 = 886,198.88 : x
  2. Step 2: Convert to fraction form
    404,963.63/886,198.88 = 886,198.88/x
  3. Step 3: Cross multiply
    404,963.63x = 886,198.88 × 886,198.88
  4. Step 4: Simplify right side
    404,963.63x = 785,348,446,051.27
  5. Step 5: Solve for x
    x = 785,348,446,051.27/404,963.63
  6. Step 6: Final answer
    x = 1,939,306.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.