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Finding the Third Proportional to 262,926 and 575,608

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Solution

The third proportional to 262,926 and 575,608 is: 1,260,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,926 : 575,608 = 575,608 : x
  2. Step 2: Convert to fraction form
    262,926/575,608 = 575,608/x
  3. Step 3: Cross multiply
    262,926x = 575,608 × 575,608
  4. Step 4: Simplify right side
    262,926x = 331,324,569,664
  5. Step 5: Solve for x
    x = 331,324,569,664/262,926
  6. Step 6: Final answer
    x = 1,260,143.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.