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Finding the Third Proportional to 284.06 and 606.56

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Solution

The third proportional to 284.06 and 606.56 is: 1,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.06 : 606.56 = 606.56 : x
  2. Step 2: Convert to fraction form
    284.06/606.56 = 606.56/x
  3. Step 3: Cross multiply
    284.06x = 606.56 × 606.56
  4. Step 4: Simplify right side
    284.06x = 367,918.07
  5. Step 5: Solve for x
    x = 367,918.07/284.06
  6. Step 6: Final answer
    x = 1,295.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.