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Finding the Third Proportional to 385,206 and 927,995

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Solution

The third proportional to 385,206 and 927,995 is: 2,235,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,206 : 927,995 = 927,995 : x
  2. Step 2: Convert to fraction form
    385,206/927,995 = 927,995/x
  3. Step 3: Cross multiply
    385,206x = 927,995 × 927,995
  4. Step 4: Simplify right side
    385,206x = 861,174,720,025
  5. Step 5: Solve for x
    x = 861,174,720,025/385,206
  6. Step 6: Final answer
    x = 2,235,621.25

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.