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Finding the Third Proportional to 284,859.28 and 451,072.55

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Solution

The third proportional to 284,859.28 and 451,072.55 is: 714,270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,859.28 : 451,072.55 = 451,072.55 : x
  2. Step 2: Convert to fraction form
    284,859.28/451,072.55 = 451,072.55/x
  3. Step 3: Cross multiply
    284,859.28x = 451,072.55 × 451,072.55
  4. Step 4: Simplify right side
    284,859.28x = 203,466,442,544.30
  5. Step 5: Solve for x
    x = 203,466,442,544.30/284,859.28
  6. Step 6: Final answer
    x = 714,270.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.