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Finding the Third Proportional to 338,502 and 705,357

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Solution

The third proportional to 338,502 and 705,357 is: 1,469,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,502 : 705,357 = 705,357 : x
  2. Step 2: Convert to fraction form
    338,502/705,357 = 705,357/x
  3. Step 3: Cross multiply
    338,502x = 705,357 × 705,357
  4. Step 4: Simplify right side
    338,502x = 497,528,497,449
  5. Step 5: Solve for x
    x = 497,528,497,449/338,502
  6. Step 6: Final answer
    x = 1,469,794.85

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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.