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Finding the Third Proportional to 759 and 898.50

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Solution

The third proportional to 759 and 898.50 is: 1,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    759 : 898.50 = 898.50 : x
  2. Step 2: Convert to fraction form
    759/898.50 = 898.50/x
  3. Step 3: Cross multiply
    759x = 898.50 × 898.50
  4. Step 4: Simplify right side
    759x = 807,302.25
  5. Step 5: Solve for x
    x = 807,302.25/759
  6. Step 6: Final answer
    x = 1,063.64

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.