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Finding the Third Proportional to 417.75 and 903.56

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Solution

The third proportional to 417.75 and 903.56 is: 1,954.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.75 : 903.56 = 903.56 : x
  2. Step 2: Convert to fraction form
    417.75/903.56 = 903.56/x
  3. Step 3: Cross multiply
    417.75x = 903.56 × 903.56
  4. Step 4: Simplify right side
    417.75x = 816,425.19
  5. Step 5: Solve for x
    x = 816,425.19/417.75
  6. Step 6: Final answer
    x = 1,954.34

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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.