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Finding the Third Proportional to 398,929.50 and 853,896

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Solution

The third proportional to 398,929.50 and 853,896 is: 1,827,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,929.50 : 853,896 = 853,896 : x
  2. Step 2: Convert to fraction form
    398,929.50/853,896 = 853,896/x
  3. Step 3: Cross multiply
    398,929.50x = 853,896 × 853,896
  4. Step 4: Simplify right side
    398,929.50x = 729,138,378,816
  5. Step 5: Solve for x
    x = 729,138,378,816/398,929.50
  6. Step 6: Final answer
    x = 1,827,737.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.