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Finding the Third Proportional to 268,069.50 and 400,788

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Solution

The third proportional to 268,069.50 and 400,788 is: 599,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,069.50 : 400,788 = 400,788 : x
  2. Step 2: Convert to fraction form
    268,069.50/400,788 = 400,788/x
  3. Step 3: Cross multiply
    268,069.50x = 400,788 × 400,788
  4. Step 4: Simplify right side
    268,069.50x = 160,631,020,944
  5. Step 5: Solve for x
    x = 160,631,020,944/268,069.50
  6. Step 6: Final answer
    x = 599,214.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.