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Finding the Third Proportional to 606.88 and 921.63

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Solution

The third proportional to 606.88 and 921.63 is: 1,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.88 : 921.63 = 921.63 : x
  2. Step 2: Convert to fraction form
    606.88/921.63 = 921.63/x
  3. Step 3: Cross multiply
    606.88x = 921.63 × 921.63
  4. Step 4: Simplify right side
    606.88x = 849,392.64
  5. Step 5: Solve for x
    x = 849,392.64/606.88
  6. Step 6: Final answer
    x = 1,399.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.