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Finding the Third Proportional to 506.63 and 732.19

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Solution

The third proportional to 506.63 and 732.19 is: 1,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.63 : 732.19 = 732.19 : x
  2. Step 2: Convert to fraction form
    506.63/732.19 = 732.19/x
  3. Step 3: Cross multiply
    506.63x = 732.19 × 732.19
  4. Step 4: Simplify right side
    506.63x = 536,098.54
  5. Step 5: Solve for x
    x = 536,098.54/506.63
  6. Step 6: Final answer
    x = 1,058.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.