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Finding the Third Proportional to 284,982.75 and 444,726

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Solution

The third proportional to 284,982.75 and 444,726 is: 694,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,982.75 : 444,726 = 444,726 : x
  2. Step 2: Convert to fraction form
    284,982.75/444,726 = 444,726/x
  3. Step 3: Cross multiply
    284,982.75x = 444,726 × 444,726
  4. Step 4: Simplify right side
    284,982.75x = 197,781,215,076
  5. Step 5: Solve for x
    x = 197,781,215,076/284,982.75
  6. Step 6: Final answer
    x = 694,011.18

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.