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Finding the Third Proportional to 338,847 and 705,786

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Solution

The third proportional to 338,847 and 705,786 is: 1,470,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,847 : 705,786 = 705,786 : x
  2. Step 2: Convert to fraction form
    338,847/705,786 = 705,786/x
  3. Step 3: Cross multiply
    338,847x = 705,786 × 705,786
  4. Step 4: Simplify right side
    338,847x = 498,133,877,796
  5. Step 5: Solve for x
    x = 498,133,877,796/338,847
  6. Step 6: Final answer
    x = 1,470,084.96

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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.