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Finding the Third Proportional to 283,785 and 424,899

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Solution

The third proportional to 283,785 and 424,899 is: 636,182.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,785 : 424,899 = 424,899 : x
  2. Step 2: Convert to fraction form
    283,785/424,899 = 424,899/x
  3. Step 3: Cross multiply
    283,785x = 424,899 × 424,899
  4. Step 4: Simplify right side
    283,785x = 180,539,160,201
  5. Step 5: Solve for x
    x = 180,539,160,201/283,785
  6. Step 6: Final answer
    x = 636,182.89

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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.