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Finding the Third Proportional to 240,615.56 and 522,801.21

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Solution

The third proportional to 240,615.56 and 522,801.21 is: 1,135,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,615.56 : 522,801.21 = 522,801.21 : x
  2. Step 2: Convert to fraction form
    240,615.56/522,801.21 = 522,801.21/x
  3. Step 3: Cross multiply
    240,615.56x = 522,801.21 × 522,801.21
  4. Step 4: Simplify right side
    240,615.56x = 273,321,106,157.72
  5. Step 5: Solve for x
    x = 273,321,106,157.72/240,615.56
  6. Step 6: Final answer
    x = 1,135,924.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.