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Finding the Third Proportional to 284.25 and 597.75

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Solution

The third proportional to 284.25 and 597.75 is: 1,257.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.25 : 597.75 = 597.75 : x
  2. Step 2: Convert to fraction form
    284.25/597.75 = 597.75/x
  3. Step 3: Cross multiply
    284.25x = 597.75 × 597.75
  4. Step 4: Simplify right side
    284.25x = 357,305.06
  5. Step 5: Solve for x
    x = 357,305.06/284.25
  6. Step 6: Final answer
    x = 1,257.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.