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Finding the Third Proportional to 283.25 and 653.38

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Solution

The third proportional to 283.25 and 653.38 is: 1,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.25 : 653.38 = 653.38 : x
  2. Step 2: Convert to fraction form
    283.25/653.38 = 653.38/x
  3. Step 3: Cross multiply
    283.25x = 653.38 × 653.38
  4. Step 4: Simplify right side
    283.25x = 426,898.89
  5. Step 5: Solve for x
    x = 426,898.89/283.25
  6. Step 6: Final answer
    x = 1,507.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.