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Finding the Third Proportional to 500,815.50 and 775,963.50

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Solution

The third proportional to 500,815.50 and 775,963.50 is: 1,202,277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,815.50 : 775,963.50 = 775,963.50 : x
  2. Step 2: Convert to fraction form
    500,815.50/775,963.50 = 775,963.50/x
  3. Step 3: Cross multiply
    500,815.50x = 775,963.50 × 775,963.50
  4. Step 4: Simplify right side
    500,815.50x = 602,119,353,332.25
  5. Step 5: Solve for x
    x = 602,119,353,332.25/500,815.50
  6. Step 6: Final answer
    x = 1,202,277.79

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