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Finding the Third Proportional to 477.56 and 1,035.84

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Solution

The third proportional to 477.56 and 1,035.84 is: 2,246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.56 : 1,035.84 = 1,035.84 : x
  2. Step 2: Convert to fraction form
    477.56/1,035.84 = 1,035.84/x
  3. Step 3: Cross multiply
    477.56x = 1,035.84 × 1,035.84
  4. Step 4: Simplify right side
    477.56x = 1,072,972.27
  5. Step 5: Solve for x
    x = 1,072,972.27/477.56
  6. Step 6: Final answer
    x = 2,246.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.