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Finding the Third Proportional to 271,484.50 and 579,023.50

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Solution

The third proportional to 271,484.50 and 579,023.50 is: 1,234,944.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,484.50 : 579,023.50 = 579,023.50 : x
  2. Step 2: Convert to fraction form
    271,484.50/579,023.50 = 579,023.50/x
  3. Step 3: Cross multiply
    271,484.50x = 579,023.50 × 579,023.50
  4. Step 4: Simplify right side
    271,484.50x = 335,268,213,552.25
  5. Step 5: Solve for x
    x = 335,268,213,552.25/271,484.50
  6. Step 6: Final answer
    x = 1,234,944.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.