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Finding the Third Proportional to 435.56 and 929.06

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Solution

The third proportional to 435.56 and 929.06 is: 1,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.56 : 929.06 = 929.06 : x
  2. Step 2: Convert to fraction form
    435.56/929.06 = 929.06/x
  3. Step 3: Cross multiply
    435.56x = 929.06 × 929.06
  4. Step 4: Simplify right side
    435.56x = 863,157.13
  5. Step 5: Solve for x
    x = 863,157.13/435.56
  6. Step 6: Final answer
    x = 1,981.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.