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Finding the Third Proportional to 260,165 and 567,478

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Solution

The third proportional to 260,165 and 567,478 is: 1,237,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,165 : 567,478 = 567,478 : x
  2. Step 2: Convert to fraction form
    260,165/567,478 = 567,478/x
  3. Step 3: Cross multiply
    260,165x = 567,478 × 567,478
  4. Step 4: Simplify right side
    260,165x = 322,031,280,484
  5. Step 5: Solve for x
    x = 322,031,280,484/260,165
  6. Step 6: Final answer
    x = 1,237,796.32

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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.