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Finding the Third Proportional to 273,808 and 599,151

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Solution

The third proportional to 273,808 and 599,151 is: 1,311,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,808 : 599,151 = 599,151 : x
  2. Step 2: Convert to fraction form
    273,808/599,151 = 599,151/x
  3. Step 3: Cross multiply
    273,808x = 599,151 × 599,151
  4. Step 4: Simplify right side
    273,808x = 358,981,920,801
  5. Step 5: Solve for x
    x = 358,981,920,801/273,808
  6. Step 6: Final answer
    x = 1,311,071.70

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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.