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Finding the Third Proportional to 283,782 and 424,892

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Solution

The third proportional to 283,782 and 424,892 is: 636,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,782 : 424,892 = 424,892 : x
  2. Step 2: Convert to fraction form
    283,782/424,892 = 424,892/x
  3. Step 3: Cross multiply
    283,782x = 424,892 × 424,892
  4. Step 4: Simplify right side
    283,782x = 180,533,211,664
  5. Step 5: Solve for x
    x = 180,533,211,664/283,782
  6. Step 6: Final answer
    x = 636,168.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.