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Finding the Third Proportional to 536,134.50 and 816,780

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Solution

The third proportional to 536,134.50 and 816,780 is: 1,244,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,134.50 : 816,780 = 816,780 : x
  2. Step 2: Convert to fraction form
    536,134.50/816,780 = 816,780/x
  3. Step 3: Cross multiply
    536,134.50x = 816,780 × 816,780
  4. Step 4: Simplify right side
    536,134.50x = 667,129,568,400
  5. Step 5: Solve for x
    x = 667,129,568,400/536,134.50
  6. Step 6: Final answer
    x = 1,244,332.47

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.