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Finding the Third Proportional to 371,128 and 827,252

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Solution

The third proportional to 371,128 and 827,252 is: 1,843,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,128 : 827,252 = 827,252 : x
  2. Step 2: Convert to fraction form
    371,128/827,252 = 827,252/x
  3. Step 3: Cross multiply
    371,128x = 827,252 × 827,252
  4. Step 4: Simplify right side
    371,128x = 684,345,871,504
  5. Step 5: Solve for x
    x = 684,345,871,504/371,128
  6. Step 6: Final answer
    x = 1,843,961.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.