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Finding the Third Proportional to 284.06 and 607.36

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Solution

The third proportional to 284.06 and 607.36 is: 1,298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.06 : 607.36 = 607.36 : x
  2. Step 2: Convert to fraction form
    284.06/607.36 = 607.36/x
  3. Step 3: Cross multiply
    284.06x = 607.36 × 607.36
  4. Step 4: Simplify right side
    284.06x = 368,885.41
  5. Step 5: Solve for x
    x = 368,885.41/284.06
  6. Step 6: Final answer
    x = 1,298.61

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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.