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Finding the Third Proportional to 283,786 and 424,896

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Solution

The third proportional to 283,786 and 424,896 is: 636,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,786 : 424,896 = 424,896 : x
  2. Step 2: Convert to fraction form
    283,786/424,896 = 424,896/x
  3. Step 3: Cross multiply
    283,786x = 424,896 × 424,896
  4. Step 4: Simplify right side
    283,786x = 180,536,610,816
  5. Step 5: Solve for x
    x = 180,536,610,816/283,786
  6. Step 6: Final answer
    x = 636,171.66

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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.