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Finding the Third Proportional to 284,865.75 and 451,082.25

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Solution

The third proportional to 284,865.75 and 451,082.25 is: 714,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,865.75 : 451,082.25 = 451,082.25 : x
  2. Step 2: Convert to fraction form
    284,865.75/451,082.25 = 451,082.25/x
  3. Step 3: Cross multiply
    284,865.75x = 451,082.25 × 451,082.25
  4. Step 4: Simplify right side
    284,865.75x = 203,475,196,265.06
  5. Step 5: Solve for x
    x = 203,475,196,265.06/284,865.75
  6. Step 6: Final answer
    x = 714,284.52

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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.