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Finding the Third Proportional to 524 and 898

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Solution

The third proportional to 524 and 898 is: 1,538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524 : 898 = 898 : x
  2. Step 2: Convert to fraction form
    524/898 = 898/x
  3. Step 3: Cross multiply
    524x = 898 × 898
  4. Step 4: Simplify right side
    524x = 806,404
  5. Step 5: Solve for x
    x = 806,404/524
  6. Step 6: Final answer
    x = 1,538.94

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.