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Finding the Third Proportional to 922.88 and 1,379.06

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Solution

The third proportional to 922.88 and 1,379.06 is: 2,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.88 : 1,379.06 = 1,379.06 : x
  2. Step 2: Convert to fraction form
    922.88/1,379.06 = 1,379.06/x
  3. Step 3: Cross multiply
    922.88x = 1,379.06 × 1,379.06
  4. Step 4: Simplify right side
    922.88x = 1,901,813.38
  5. Step 5: Solve for x
    x = 1,901,813.38/922.88
  6. Step 6: Final answer
    x = 2,060.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.