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Finding the Third Proportional to 284,017.50 and 612,321.75

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Solution

The third proportional to 284,017.50 and 612,321.75 is: 1,320,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,017.50 : 612,321.75 = 612,321.75 : x
  2. Step 2: Convert to fraction form
    284,017.50/612,321.75 = 612,321.75/x
  3. Step 3: Cross multiply
    284,017.50x = 612,321.75 × 612,321.75
  4. Step 4: Simplify right side
    284,017.50x = 374,937,925,523.06
  5. Step 5: Solve for x
    x = 374,937,925,523.06/284,017.50
  6. Step 6: Final answer
    x = 1,320,122.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.