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Finding the Third Proportional to 243,711 and 534,505

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Solution

The third proportional to 243,711 and 534,505 is: 1,172,272.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,711 : 534,505 = 534,505 : x
  2. Step 2: Convert to fraction form
    243,711/534,505 = 534,505/x
  3. Step 3: Cross multiply
    243,711x = 534,505 × 534,505
  4. Step 4: Simplify right side
    243,711x = 285,695,595,025
  5. Step 5: Solve for x
    x = 285,695,595,025/243,711
  6. Step 6: Final answer
    x = 1,172,272.06

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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.