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Finding the Third Proportional to 904.50 and 2,045.25

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Solution

The third proportional to 904.50 and 2,045.25 is: 4,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.50 : 2,045.25 = 2,045.25 : x
  2. Step 2: Convert to fraction form
    904.50/2,045.25 = 2,045.25/x
  3. Step 3: Cross multiply
    904.50x = 2,045.25 × 2,045.25
  4. Step 4: Simplify right side
    904.50x = 4,183,047.56
  5. Step 5: Solve for x
    x = 4,183,047.56/904.50
  6. Step 6: Final answer
    x = 4,624.71

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.