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Finding the Third Proportional to 281,112.19 and 614,649.94

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Solution

The third proportional to 281,112.19 and 614,649.94 is: 1,343,928.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,112.19 : 614,649.94 = 614,649.94 : x
  2. Step 2: Convert to fraction form
    281,112.19/614,649.94 = 614,649.94/x
  3. Step 3: Cross multiply
    281,112.19x = 614,649.94 × 614,649.94
  4. Step 4: Simplify right side
    281,112.19x = 377,794,545,668.75
  5. Step 5: Solve for x
    x = 377,794,545,668.75/281,112.19
  6. Step 6: Final answer
    x = 1,343,928.02

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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.