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Finding the Third Proportional to 376,257 and 827,237

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Solution

The third proportional to 376,257 and 827,237 is: 1,818,759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,257 : 827,237 = 827,237 : x
  2. Step 2: Convert to fraction form
    376,257/827,237 = 827,237/x
  3. Step 3: Cross multiply
    376,257x = 827,237 × 827,237
  4. Step 4: Simplify right side
    376,257x = 684,321,054,169
  5. Step 5: Solve for x
    x = 684,321,054,169/376,257
  6. Step 6: Final answer
    x = 1,818,759.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.