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Finding the Third Proportional to 262,578 and 534,796

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Solution

The third proportional to 262,578 and 534,796 is: 1,089,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,578 : 534,796 = 534,796 : x
  2. Step 2: Convert to fraction form
    262,578/534,796 = 534,796/x
  3. Step 3: Cross multiply
    262,578x = 534,796 × 534,796
  4. Step 4: Simplify right side
    262,578x = 286,006,761,616
  5. Step 5: Solve for x
    x = 286,006,761,616/262,578
  6. Step 6: Final answer
    x = 1,089,225.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.