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Finding the Third Proportional to 283,783.50 and 424,893

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Solution

The third proportional to 283,783.50 and 424,893 is: 636,168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,783.50 : 424,893 = 424,893 : x
  2. Step 2: Convert to fraction form
    283,783.50/424,893 = 424,893/x
  3. Step 3: Cross multiply
    283,783.50x = 424,893 × 424,893
  4. Step 4: Simplify right side
    283,783.50x = 180,534,061,449
  5. Step 5: Solve for x
    x = 180,534,061,449/283,783.50
  6. Step 6: Final answer
    x = 636,168.28

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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.