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Finding the Third Proportional to 262,696 and 569,424

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Solution

The third proportional to 262,696 and 569,424 is: 1,234,292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,696 : 569,424 = 569,424 : x
  2. Step 2: Convert to fraction form
    262,696/569,424 = 569,424/x
  3. Step 3: Cross multiply
    262,696x = 569,424 × 569,424
  4. Step 4: Simplify right side
    262,696x = 324,243,691,776
  5. Step 5: Solve for x
    x = 324,243,691,776/262,696
  6. Step 6: Final answer
    x = 1,234,292.46

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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.