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Finding the Third Proportional to 260,127 and 567,525.38

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Solution

The third proportional to 260,127 and 567,525.38 is: 1,238,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,127 : 567,525.38 = 567,525.38 : x
  2. Step 2: Convert to fraction form
    260,127/567,525.38 = 567,525.38/x
  3. Step 3: Cross multiply
    260,127x = 567,525.38 × 567,525.38
  4. Step 4: Simplify right side
    260,127x = 322,085,051,268.89
  5. Step 5: Solve for x
    x = 322,085,051,268.89/260,127
  6. Step 6: Final answer
    x = 1,238,183.85

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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.