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Finding the Third Proportional to 260,135.72 and 567,419.77

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Solution

The third proportional to 260,135.72 and 567,419.77 is: 1,237,681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,135.72 : 567,419.77 = 567,419.77 : x
  2. Step 2: Convert to fraction form
    260,135.72/567,419.77 = 567,419.77/x
  3. Step 3: Cross multiply
    260,135.72x = 567,419.77 × 567,419.77
  4. Step 4: Simplify right side
    260,135.72x = 321,965,190,421.93
  5. Step 5: Solve for x
    x = 321,965,190,421.93/260,135.72
  6. Step 6: Final answer
    x = 1,237,681.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.