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Finding the Third Proportional to 281,378.81 and 616,121.44

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Solution

The third proportional to 281,378.81 and 616,121.44 is: 1,349,091.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,378.81 : 616,121.44 = 616,121.44 : x
  2. Step 2: Convert to fraction form
    281,378.81/616,121.44 = 616,121.44/x
  3. Step 3: Cross multiply
    281,378.81x = 616,121.44 × 616,121.44
  4. Step 4: Simplify right side
    281,378.81x = 379,605,625,747.07
  5. Step 5: Solve for x
    x = 379,605,625,747.07/281,378.81
  6. Step 6: Final answer
    x = 1,349,091.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.