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Finding the Third Proportional to 260,520 and 567,858

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Solution

The third proportional to 260,520 and 567,858 is: 1,237,765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,520 : 567,858 = 567,858 : x
  2. Step 2: Convert to fraction form
    260,520/567,858 = 567,858/x
  3. Step 3: Cross multiply
    260,520x = 567,858 × 567,858
  4. Step 4: Simplify right side
    260,520x = 322,462,708,164
  5. Step 5: Solve for x
    x = 322,462,708,164/260,520
  6. Step 6: Final answer
    x = 1,237,765.65

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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.