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Finding the Third Proportional to 265,951 and 569,261

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Solution

The third proportional to 265,951 and 569,261 is: 1,218,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,951 : 569,261 = 569,261 : x
  2. Step 2: Convert to fraction form
    265,951/569,261 = 569,261/x
  3. Step 3: Cross multiply
    265,951x = 569,261 × 569,261
  4. Step 4: Simplify right side
    265,951x = 324,058,086,121
  5. Step 5: Solve for x
    x = 324,058,086,121/265,951
  6. Step 6: Final answer
    x = 1,218,487.94

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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.