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Finding the Third Proportional to 944.93 and 1,465.80

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Solution

The third proportional to 944.93 and 1,465.80 is: 2,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.93 : 1,465.80 = 1,465.80 : x
  2. Step 2: Convert to fraction form
    944.93/1,465.80 = 1,465.80/x
  3. Step 3: Cross multiply
    944.93x = 1,465.80 × 1,465.80
  4. Step 4: Simplify right side
    944.93x = 2,148,583.38
  5. Step 5: Solve for x
    x = 2,148,583.38/944.93
  6. Step 6: Final answer
    x = 2,273.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.