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Finding the Third Proportional to 338,484 and 801,930

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Solution

The third proportional to 338,484 and 801,930 is: 1,899,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,484 : 801,930 = 801,930 : x
  2. Step 2: Convert to fraction form
    338,484/801,930 = 801,930/x
  3. Step 3: Cross multiply
    338,484x = 801,930 × 801,930
  4. Step 4: Simplify right side
    338,484x = 643,091,724,900
  5. Step 5: Solve for x
    x = 643,091,724,900/338,484
  6. Step 6: Final answer
    x = 1,899,917.65

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.