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Finding the Third Proportional to 283,784.75 and 424,894.75

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Solution

The third proportional to 283,784.75 and 424,894.75 is: 636,170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,784.75 : 424,894.75 = 424,894.75 : x
  2. Step 2: Convert to fraction form
    283,784.75/424,894.75 = 424,894.75/x
  3. Step 3: Cross multiply
    283,784.75x = 424,894.75 × 424,894.75
  4. Step 4: Simplify right side
    283,784.75x = 180,535,548,577.56
  5. Step 5: Solve for x
    x = 180,535,548,577.56/283,784.75
  6. Step 6: Final answer
    x = 636,170.72

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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.