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Finding the Third Proportional to 500,667 and 775,738

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Solution

The third proportional to 500,667 and 775,738 is: 1,201,935.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,667 : 775,738 = 775,738 : x
  2. Step 2: Convert to fraction form
    500,667/775,738 = 775,738/x
  3. Step 3: Cross multiply
    500,667x = 775,738 × 775,738
  4. Step 4: Simplify right side
    500,667x = 601,769,444,644
  5. Step 5: Solve for x
    x = 601,769,444,644/500,667
  6. Step 6: Final answer
    x = 1,201,935.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.