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Finding the Third Proportional to 283,802 and 439,472

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Solution

The third proportional to 283,802 and 439,472 is: 680,529.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,802 : 439,472 = 439,472 : x
  2. Step 2: Convert to fraction form
    283,802/439,472 = 439,472/x
  3. Step 3: Cross multiply
    283,802x = 439,472 × 439,472
  4. Step 4: Simplify right side
    283,802x = 193,135,638,784
  5. Step 5: Solve for x
    x = 193,135,638,784/283,802
  6. Step 6: Final answer
    x = 680,529.52

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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.