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Finding the Third Proportional to 243,058 and 533,924

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Solution

The third proportional to 243,058 and 533,924 is: 1,172,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,058 : 533,924 = 533,924 : x
  2. Step 2: Convert to fraction form
    243,058/533,924 = 533,924/x
  3. Step 3: Cross multiply
    243,058x = 533,924 × 533,924
  4. Step 4: Simplify right side
    243,058x = 285,074,837,776
  5. Step 5: Solve for x
    x = 285,074,837,776/243,058
  6. Step 6: Final answer
    x = 1,172,867.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.