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Finding the Third Proportional to 271,484 and 579,023

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Solution

The third proportional to 271,484 and 579,023 is: 1,234,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,484 : 579,023 = 579,023 : x
  2. Step 2: Convert to fraction form
    271,484/579,023 = 579,023/x
  3. Step 3: Cross multiply
    271,484x = 579,023 × 579,023
  4. Step 4: Simplify right side
    271,484x = 335,267,634,529
  5. Step 5: Solve for x
    x = 335,267,634,529/271,484
  6. Step 6: Final answer
    x = 1,234,944.36

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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.