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Finding the Third Proportional to 508.31 and 726.94

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Solution

The third proportional to 508.31 and 726.94 is: 1,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.31 : 726.94 = 726.94 : x
  2. Step 2: Convert to fraction form
    508.31/726.94 = 726.94/x
  3. Step 3: Cross multiply
    508.31x = 726.94 × 726.94
  4. Step 4: Simplify right side
    508.31x = 528,438.13
  5. Step 5: Solve for x
    x = 528,438.13/508.31
  6. Step 6: Final answer
    x = 1,039.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.