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Finding the Third Proportional to 386,231 and 565,519

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Solution

The third proportional to 386,231 and 565,519 is: 828,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,231 : 565,519 = 565,519 : x
  2. Step 2: Convert to fraction form
    386,231/565,519 = 565,519/x
  3. Step 3: Cross multiply
    386,231x = 565,519 × 565,519
  4. Step 4: Simplify right side
    386,231x = 319,811,739,361
  5. Step 5: Solve for x
    x = 319,811,739,361/386,231
  6. Step 6: Final answer
    x = 828,032.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.