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Finding the Third Proportional to 262,764 and 569,109

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Solution

The third proportional to 262,764 and 569,109 is: 1,232,608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,764 : 569,109 = 569,109 : x
  2. Step 2: Convert to fraction form
    262,764/569,109 = 569,109/x
  3. Step 3: Cross multiply
    262,764x = 569,109 × 569,109
  4. Step 4: Simplify right side
    262,764x = 323,885,053,881
  5. Step 5: Solve for x
    x = 323,885,053,881/262,764
  6. Step 6: Final answer
    x = 1,232,608.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.