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Finding the Third Proportional to 437.06 and 945.84

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Solution

The third proportional to 437.06 and 945.84 is: 2,046.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.06 : 945.84 = 945.84 : x
  2. Step 2: Convert to fraction form
    437.06/945.84 = 945.84/x
  3. Step 3: Cross multiply
    437.06x = 945.84 × 945.84
  4. Step 4: Simplify right side
    437.06x = 894,620.40
  5. Step 5: Solve for x
    x = 894,620.40/437.06
  6. Step 6: Final answer
    x = 2,046.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.