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Finding the Third Proportional to 284,487.75 and 609,553.55

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Solution

The third proportional to 284,487.75 and 609,553.55 is: 1,306,051.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,487.75 : 609,553.55 = 609,553.55 : x
  2. Step 2: Convert to fraction form
    284,487.75/609,553.55 = 609,553.55/x
  3. Step 3: Cross multiply
    284,487.75x = 609,553.55 × 609,553.55
  4. Step 4: Simplify right side
    284,487.75x = 371,555,526,507.89
  5. Step 5: Solve for x
    x = 371,555,526,507.89/284,487.75
  6. Step 6: Final answer
    x = 1,306,051.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.