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Finding the Third Proportional to 582,884 and 874,866

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Solution

The third proportional to 582,884 and 874,866 is: 1,313,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,884 : 874,866 = 874,866 : x
  2. Step 2: Convert to fraction form
    582,884/874,866 = 874,866/x
  3. Step 3: Cross multiply
    582,884x = 874,866 × 874,866
  4. Step 4: Simplify right side
    582,884x = 765,390,517,956
  5. Step 5: Solve for x
    x = 765,390,517,956/582,884
  6. Step 6: Final answer
    x = 1,313,109.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.