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Finding the Third Proportional to 383.25 and 607.25

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Solution

The third proportional to 383.25 and 607.25 is: 962.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.25 : 607.25 = 607.25 : x
  2. Step 2: Convert to fraction form
    383.25/607.25 = 607.25/x
  3. Step 3: Cross multiply
    383.25x = 607.25 × 607.25
  4. Step 4: Simplify right side
    383.25x = 368,752.56
  5. Step 5: Solve for x
    x = 368,752.56/383.25
  6. Step 6: Final answer
    x = 962.17

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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.