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Finding the Third Proportional to 274,272 and 599,808

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Solution

The third proportional to 274,272 and 599,808 is: 1,311,725.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,272 : 599,808 = 599,808 : x
  2. Step 2: Convert to fraction form
    274,272/599,808 = 599,808/x
  3. Step 3: Cross multiply
    274,272x = 599,808 × 599,808
  4. Step 4: Simplify right side
    274,272x = 359,769,636,864
  5. Step 5: Solve for x
    x = 359,769,636,864/274,272
  6. Step 6: Final answer
    x = 1,311,725.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.