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Finding the Third Proportional to 404,923.50 and 885,888

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Solution

The third proportional to 404,923.50 and 885,888 is: 1,938,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,923.50 : 885,888 = 885,888 : x
  2. Step 2: Convert to fraction form
    404,923.50/885,888 = 885,888/x
  3. Step 3: Cross multiply
    404,923.50x = 885,888 × 885,888
  4. Step 4: Simplify right side
    404,923.50x = 784,797,548,544
  5. Step 5: Solve for x
    x = 784,797,548,544/404,923.50
  6. Step 6: Final answer
    x = 1,938,137.82

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