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Finding the Third Proportional to 538,743 and 1,178,452.50

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Solution

The third proportional to 538,743 and 1,178,452.50 is: 2,577,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,743 : 1,178,452.50 = 1,178,452.50 : x
  2. Step 2: Convert to fraction form
    538,743/1,178,452.50 = 1,178,452.50/x
  3. Step 3: Cross multiply
    538,743x = 1,178,452.50 × 1,178,452.50
  4. Step 4: Simplify right side
    538,743x = 1,388,750,294,756.25
  5. Step 5: Solve for x
    x = 1,388,750,294,756.25/538,743
  6. Step 6: Final answer
    x = 2,577,760.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.