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Finding the Third Proportional to 284,620.50 and 611,452.13

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Solution

The third proportional to 284,620.50 and 611,452.13 is: 1,313,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,620.50 : 611,452.13 = 611,452.13 : x
  2. Step 2: Convert to fraction form
    284,620.50/611,452.13 = 611,452.13/x
  3. Step 3: Cross multiply
    284,620.50x = 611,452.13 × 611,452.13
  4. Step 4: Simplify right side
    284,620.50x = 373,873,701,167.02
  5. Step 5: Solve for x
    x = 373,873,701,167.02/284,620.50
  6. Step 6: Final answer
    x = 1,313,586.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.