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Finding the Third Proportional to 283,264 and 579,592

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Solution

The third proportional to 283,264 and 579,592 is: 1,185,914.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,264 : 579,592 = 579,592 : x
  2. Step 2: Convert to fraction form
    283,264/579,592 = 579,592/x
  3. Step 3: Cross multiply
    283,264x = 579,592 × 579,592
  4. Step 4: Simplify right side
    283,264x = 335,926,886,464
  5. Step 5: Solve for x
    x = 335,926,886,464/283,264
  6. Step 6: Final answer
    x = 1,185,914.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.