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Finding the Third Proportional to 409,995 and 880,193.25

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Solution

The third proportional to 409,995 and 880,193.25 is: 1,889,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,995 : 880,193.25 = 880,193.25 : x
  2. Step 2: Convert to fraction form
    409,995/880,193.25 = 880,193.25/x
  3. Step 3: Cross multiply
    409,995x = 880,193.25 × 880,193.25
  4. Step 4: Simplify right side
    409,995x = 774,740,157,345.56
  5. Step 5: Solve for x
    x = 774,740,157,345.56/409,995
  6. Step 6: Final answer
    x = 1,889,633.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.