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Finding the Third Proportional to 283,342 and 427,741

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Solution

The third proportional to 283,342 and 427,741 is: 645,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,342 : 427,741 = 427,741 : x
  2. Step 2: Convert to fraction form
    283,342/427,741 = 427,741/x
  3. Step 3: Cross multiply
    283,342x = 427,741 × 427,741
  4. Step 4: Simplify right side
    283,342x = 182,962,363,081
  5. Step 5: Solve for x
    x = 182,962,363,081/283,342
  6. Step 6: Final answer
    x = 645,729.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.