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Finding the Third Proportional to 409,219.25 and 889,273

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Solution

The third proportional to 409,219.25 and 889,273 is: 1,932,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,219.25 : 889,273 = 889,273 : x
  2. Step 2: Convert to fraction form
    409,219.25/889,273 = 889,273/x
  3. Step 3: Cross multiply
    409,219.25x = 889,273 × 889,273
  4. Step 4: Simplify right side
    409,219.25x = 790,806,468,529
  5. Step 5: Solve for x
    x = 790,806,468,529/409,219.25
  6. Step 6: Final answer
    x = 1,932,476.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.