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Finding the Third Proportional to 654 and 921.94

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Solution

The third proportional to 654 and 921.94 is: 1,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    654 : 921.94 = 921.94 : x
  2. Step 2: Convert to fraction form
    654/921.94 = 921.94/x
  3. Step 3: Cross multiply
    654x = 921.94 × 921.94
  4. Step 4: Simplify right side
    654x = 849,968.75
  5. Step 5: Solve for x
    x = 849,968.75/654
  6. Step 6: Final answer
    x = 1,299.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.