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Finding the Third Proportional to 500,806.50 and 775,949.75

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Solution

The third proportional to 500,806.50 and 775,949.75 is: 1,202,256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,806.50 : 775,949.75 = 775,949.75 : x
  2. Step 2: Convert to fraction form
    500,806.50/775,949.75 = 775,949.75/x
  3. Step 3: Cross multiply
    500,806.50x = 775,949.75 × 775,949.75
  4. Step 4: Simplify right side
    500,806.50x = 602,098,014,525.06
  5. Step 5: Solve for x
    x = 602,098,014,525.06/500,806.50
  6. Step 6: Final answer
    x = 1,202,256.79

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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.