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Finding the Third Proportional to 608,218 and 876,116

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Solution

The third proportional to 608,218 and 876,116 is: 1,262,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,218 : 876,116 = 876,116 : x
  2. Step 2: Convert to fraction form
    608,218/876,116 = 876,116/x
  3. Step 3: Cross multiply
    608,218x = 876,116 × 876,116
  4. Step 4: Simplify right side
    608,218x = 767,579,245,456
  5. Step 5: Solve for x
    x = 767,579,245,456/608,218
  6. Step 6: Final answer
    x = 1,262,013.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.