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Finding the Third Proportional to 262,579 and 534,786

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Solution

The third proportional to 262,579 and 534,786 is: 1,089,181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,579 : 534,786 = 534,786 : x
  2. Step 2: Convert to fraction form
    262,579/534,786 = 534,786/x
  3. Step 3: Cross multiply
    262,579x = 534,786 × 534,786
  4. Step 4: Simplify right side
    262,579x = 285,996,065,796
  5. Step 5: Solve for x
    x = 285,996,065,796/262,579
  6. Step 6: Final answer
    x = 1,089,181.03

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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.