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Finding the Third Proportional to 504,716 and 775,782

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Solution

The third proportional to 504,716 and 775,782 is: 1,192,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,716 : 775,782 = 775,782 : x
  2. Step 2: Convert to fraction form
    504,716/775,782 = 775,782/x
  3. Step 3: Cross multiply
    504,716x = 775,782 × 775,782
  4. Step 4: Simplify right side
    504,716x = 601,837,711,524
  5. Step 5: Solve for x
    x = 601,837,711,524/504,716
  6. Step 6: Final answer
    x = 1,192,428.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.