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Finding the Third Proportional to 385,040.25 and 899,623.13

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Solution

The third proportional to 385,040.25 and 899,623.13 is: 2,101,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,040.25 : 899,623.13 = 899,623.13 : x
  2. Step 2: Convert to fraction form
    385,040.25/899,623.13 = 899,623.13/x
  3. Step 3: Cross multiply
    385,040.25x = 899,623.13 × 899,623.13
  4. Step 4: Simplify right side
    385,040.25x = 809,321,767,034.77
  5. Step 5: Solve for x
    x = 809,321,767,034.77/385,040.25
  6. Step 6: Final answer
    x = 2,101,914.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.