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Finding the Third Proportional to 264,106 and 569,279

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Solution

The third proportional to 264,106 and 569,279 is: 1,227,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,106 : 569,279 = 569,279 : x
  2. Step 2: Convert to fraction form
    264,106/569,279 = 569,279/x
  3. Step 3: Cross multiply
    264,106x = 569,279 × 569,279
  4. Step 4: Simplify right side
    264,106x = 324,078,579,841
  5. Step 5: Solve for x
    x = 324,078,579,841/264,106
  6. Step 6: Final answer
    x = 1,227,077.69

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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.