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Finding the Third Proportional to 283,462 and 439,544

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Solution

The third proportional to 283,462 and 439,544 is: 681,569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,462 : 439,544 = 439,544 : x
  2. Step 2: Convert to fraction form
    283,462/439,544 = 439,544/x
  3. Step 3: Cross multiply
    283,462x = 439,544 × 439,544
  4. Step 4: Simplify right side
    283,462x = 193,198,927,936
  5. Step 5: Solve for x
    x = 193,198,927,936/283,462
  6. Step 6: Final answer
    x = 681,569.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.