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Finding the Third Proportional to 423.50 and 929.75

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Solution

The third proportional to 423.50 and 929.75 is: 2,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.50 : 929.75 = 929.75 : x
  2. Step 2: Convert to fraction form
    423.50/929.75 = 929.75/x
  3. Step 3: Cross multiply
    423.50x = 929.75 × 929.75
  4. Step 4: Simplify right side
    423.50x = 864,435.06
  5. Step 5: Solve for x
    x = 864,435.06/423.50
  6. Step 6: Final answer
    x = 2,041.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.