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Finding the Third Proportional to 265,936 and 569,240

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Solution

The third proportional to 265,936 and 569,240 is: 1,218,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,936 : 569,240 = 569,240 : x
  2. Step 2: Convert to fraction form
    265,936/569,240 = 569,240/x
  3. Step 3: Cross multiply
    265,936x = 569,240 × 569,240
  4. Step 4: Simplify right side
    265,936x = 324,034,177,600
  5. Step 5: Solve for x
    x = 324,034,177,600/265,936
  6. Step 6: Final answer
    x = 1,218,466.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.