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Finding the Third Proportional to 814 and 929.50

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Solution

The third proportional to 814 and 929.50 is: 1,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    814 : 929.50 = 929.50 : x
  2. Step 2: Convert to fraction form
    814/929.50 = 929.50/x
  3. Step 3: Cross multiply
    814x = 929.50 × 929.50
  4. Step 4: Simplify right side
    814x = 863,970.25
  5. Step 5: Solve for x
    x = 863,970.25/814
  6. Step 6: Final answer
    x = 1,061.39

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.