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Finding the Third Proportional to 945.19 and 1,418.63

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Solution

The third proportional to 945.19 and 1,418.63 is: 2,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.19 : 1,418.63 = 1,418.63 : x
  2. Step 2: Convert to fraction form
    945.19/1,418.63 = 1,418.63/x
  3. Step 3: Cross multiply
    945.19x = 1,418.63 × 1,418.63
  4. Step 4: Simplify right side
    945.19x = 2,012,496.89
  5. Step 5: Solve for x
    x = 2,012,496.89/945.19
  6. Step 6: Final answer
    x = 2,129.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.