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Finding the Third Proportional to 500,687 and 775,766

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Solution

The third proportional to 500,687 and 775,766 is: 1,201,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,687 : 775,766 = 775,766 : x
  2. Step 2: Convert to fraction form
    500,687/775,766 = 775,766/x
  3. Step 3: Cross multiply
    500,687x = 775,766 × 775,766
  4. Step 4: Simplify right side
    500,687x = 601,812,886,756
  5. Step 5: Solve for x
    x = 601,812,886,756/500,687
  6. Step 6: Final answer
    x = 1,201,974.26

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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.