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Finding the Third Proportional to 260,336 and 568,408

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Solution

The third proportional to 260,336 and 568,408 is: 1,241,041.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,336 : 568,408 = 568,408 : x
  2. Step 2: Convert to fraction form
    260,336/568,408 = 568,408/x
  3. Step 3: Cross multiply
    260,336x = 568,408 × 568,408
  4. Step 4: Simplify right side
    260,336x = 323,087,654,464
  5. Step 5: Solve for x
    x = 323,087,654,464/260,336
  6. Step 6: Final answer
    x = 1,241,041.02

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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.