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Finding the Third Proportional to 338,227 and 704,437

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Solution

The third proportional to 338,227 and 704,437 is: 1,467,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,227 : 704,437 = 704,437 : x
  2. Step 2: Convert to fraction form
    338,227/704,437 = 704,437/x
  3. Step 3: Cross multiply
    338,227x = 704,437 × 704,437
  4. Step 4: Simplify right side
    338,227x = 496,231,486,969
  5. Step 5: Solve for x
    x = 496,231,486,969/338,227
  6. Step 6: Final answer
    x = 1,467,155.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.