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Finding the Third Proportional to 538,225 and 1,268,747.50

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Solution

The third proportional to 538,225 and 1,268,747.50 is: 2,990,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,225 : 1,268,747.50 = 1,268,747.50 : x
  2. Step 2: Convert to fraction form
    538,225/1,268,747.50 = 1,268,747.50/x
  3. Step 3: Cross multiply
    538,225x = 1,268,747.50 × 1,268,747.50
  4. Step 4: Simplify right side
    538,225x = 1,609,720,218,756.25
  5. Step 5: Solve for x
    x = 1,609,720,218,756.25/538,225
  6. Step 6: Final answer
    x = 2,990,794.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.