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Finding the Third Proportional to 905.63 and 1,207.69

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Solution

The third proportional to 905.63 and 1,207.69 is: 1,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.63 : 1,207.69 = 1,207.69 : x
  2. Step 2: Convert to fraction form
    905.63/1,207.69 = 1,207.69/x
  3. Step 3: Cross multiply
    905.63x = 1,207.69 × 1,207.69
  4. Step 4: Simplify right side
    905.63x = 1,458,509.10
  5. Step 5: Solve for x
    x = 1,458,509.10/905.63
  6. Step 6: Final answer
    x = 1,610.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.