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Finding the Third Proportional to 922.64 and 1,294.26

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Solution

The third proportional to 922.64 and 1,294.26 is: 1,815.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.64 : 1,294.26 = 1,294.26 : x
  2. Step 2: Convert to fraction form
    922.64/1,294.26 = 1,294.26/x
  3. Step 3: Cross multiply
    922.64x = 1,294.26 × 1,294.26
  4. Step 4: Simplify right side
    922.64x = 1,675,108.34
  5. Step 5: Solve for x
    x = 1,675,108.34/922.64
  6. Step 6: Final answer
    x = 1,815.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.