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Finding the Third Proportional to 264,096 and 569,259

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Solution

The third proportional to 264,096 and 569,259 is: 1,227,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,096 : 569,259 = 569,259 : x
  2. Step 2: Convert to fraction form
    264,096/569,259 = 569,259/x
  3. Step 3: Cross multiply
    264,096x = 569,259 × 569,259
  4. Step 4: Simplify right side
    264,096x = 324,055,809,081
  5. Step 5: Solve for x
    x = 324,055,809,081/264,096
  6. Step 6: Final answer
    x = 1,227,037.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.