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Finding the Third Proportional to 511,316 and 800,349

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Solution

The third proportional to 511,316 and 800,349 is: 1,252,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,316 : 800,349 = 800,349 : x
  2. Step 2: Convert to fraction form
    511,316/800,349 = 800,349/x
  3. Step 3: Cross multiply
    511,316x = 800,349 × 800,349
  4. Step 4: Simplify right side
    511,316x = 640,558,521,801
  5. Step 5: Solve for x
    x = 640,558,521,801/511,316
  6. Step 6: Final answer
    x = 1,252,764.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.