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Finding the Third Proportional to 263,905 and 569,282

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Solution

The third proportional to 263,905 and 569,282 is: 1,228,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,905 : 569,282 = 569,282 : x
  2. Step 2: Convert to fraction form
    263,905/569,282 = 569,282/x
  3. Step 3: Cross multiply
    263,905x = 569,282 × 569,282
  4. Step 4: Simplify right side
    263,905x = 324,081,995,524
  5. Step 5: Solve for x
    x = 324,081,995,524/263,905
  6. Step 6: Final answer
    x = 1,228,025.22

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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.