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Finding the Third Proportional to 543,519.75 and 1,165,933.50

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Solution

The third proportional to 543,519.75 and 1,165,933.50 is: 2,501,106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,519.75 : 1,165,933.50 = 1,165,933.50 : x
  2. Step 2: Convert to fraction form
    543,519.75/1,165,933.50 = 1,165,933.50/x
  3. Step 3: Cross multiply
    543,519.75x = 1,165,933.50 × 1,165,933.50
  4. Step 4: Simplify right side
    543,519.75x = 1,359,400,926,422.25
  5. Step 5: Solve for x
    x = 1,359,400,926,422.25/543,519.75
  6. Step 6: Final answer
    x = 2,501,106.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.