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Finding the Third Proportional to 253,519 and 389,711

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Solution

The third proportional to 253,519 and 389,711 is: 599,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,519 : 389,711 = 389,711 : x
  2. Step 2: Convert to fraction form
    253,519/389,711 = 389,711/x
  3. Step 3: Cross multiply
    253,519x = 389,711 × 389,711
  4. Step 4: Simplify right side
    253,519x = 151,874,663,521
  5. Step 5: Solve for x
    x = 151,874,663,521/253,519
  6. Step 6: Final answer
    x = 599,066.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.