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Finding the Third Proportional to 281,106.56 and 614,638.69

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Solution

The third proportional to 281,106.56 and 614,638.69 is: 1,343,905.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,106.56 : 614,638.69 = 614,638.69 : x
  2. Step 2: Convert to fraction form
    281,106.56/614,638.69 = 614,638.69/x
  3. Step 3: Cross multiply
    281,106.56x = 614,638.69 × 614,638.69
  4. Step 4: Simplify right side
    281,106.56x = 377,780,716,171.72
  5. Step 5: Solve for x
    x = 377,780,716,171.72/281,106.56
  6. Step 6: Final answer
    x = 1,343,905.72

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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.