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Finding the Third Proportional to 524.81 and 837.19

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Solution

The third proportional to 524.81 and 837.19 is: 1,335.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.81 : 837.19 = 837.19 : x
  2. Step 2: Convert to fraction form
    524.81/837.19 = 837.19/x
  3. Step 3: Cross multiply
    524.81x = 837.19 × 837.19
  4. Step 4: Simplify right side
    524.81x = 700,882.91
  5. Step 5: Solve for x
    x = 700,882.91/524.81
  6. Step 6: Final answer
    x = 1,335.49

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.