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Finding the Third Proportional to 260,169 and 567,486

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Solution

The third proportional to 260,169 and 567,486 is: 1,237,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,169 : 567,486 = 567,486 : x
  2. Step 2: Convert to fraction form
    260,169/567,486 = 567,486/x
  3. Step 3: Cross multiply
    260,169x = 567,486 × 567,486
  4. Step 4: Simplify right side
    260,169x = 322,040,360,196
  5. Step 5: Solve for x
    x = 322,040,360,196/260,169
  6. Step 6: Final answer
    x = 1,237,812.19

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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.