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Finding the Third Proportional to 253,854.32 and 540,308.60

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Solution

The third proportional to 253,854.32 and 540,308.60 is: 1,150,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,854.32 : 540,308.60 = 540,308.60 : x
  2. Step 2: Convert to fraction form
    253,854.32/540,308.60 = 540,308.60/x
  3. Step 3: Cross multiply
    253,854.32x = 540,308.60 × 540,308.60
  4. Step 4: Simplify right side
    253,854.32x = 291,933,384,922.42
  5. Step 5: Solve for x
    x = 291,933,384,922.42/253,854.32
  6. Step 6: Final answer
    x = 1,150,003.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.