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Finding the Third Proportional to 260,667 and 569,232

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Solution

The third proportional to 260,667 and 569,232 is: 1,243,061.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,667 : 569,232 = 569,232 : x
  2. Step 2: Convert to fraction form
    260,667/569,232 = 569,232/x
  3. Step 3: Cross multiply
    260,667x = 569,232 × 569,232
  4. Step 4: Simplify right side
    260,667x = 324,025,069,824
  5. Step 5: Solve for x
    x = 324,025,069,824/260,667
  6. Step 6: Final answer
    x = 1,243,061.34

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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.