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Finding the Third Proportional to 502.03 and 901.03

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Solution

The third proportional to 502.03 and 901.03 is: 1,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.03 : 901.03 = 901.03 : x
  2. Step 2: Convert to fraction form
    502.03/901.03 = 901.03/x
  3. Step 3: Cross multiply
    502.03x = 901.03 × 901.03
  4. Step 4: Simplify right side
    502.03x = 811,857.31
  5. Step 5: Solve for x
    x = 811,857.31/502.03
  6. Step 6: Final answer
    x = 1,617.14

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.