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Finding the Third Proportional to 283,020.75 and 384,570

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Solution

The third proportional to 283,020.75 and 384,570 is: 522,555.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,020.75 : 384,570 = 384,570 : x
  2. Step 2: Convert to fraction form
    283,020.75/384,570 = 384,570/x
  3. Step 3: Cross multiply
    283,020.75x = 384,570 × 384,570
  4. Step 4: Simplify right side
    283,020.75x = 147,894,084,900
  5. Step 5: Solve for x
    x = 147,894,084,900/283,020.75
  6. Step 6: Final answer
    x = 522,555.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.