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Finding the Third Proportional to 511,314 and 800,346

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Solution

The third proportional to 511,314 and 800,346 is: 1,252,759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,314 : 800,346 = 800,346 : x
  2. Step 2: Convert to fraction form
    511,314/800,346 = 800,346/x
  3. Step 3: Cross multiply
    511,314x = 800,346 × 800,346
  4. Step 4: Simplify right side
    511,314x = 640,553,719,716
  5. Step 5: Solve for x
    x = 640,553,719,716/511,314
  6. Step 6: Final answer
    x = 1,252,759.99

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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.