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Finding the Third Proportional to 300,049.31 and 651,614.63

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Solution

The third proportional to 300,049.31 and 651,614.63 is: 1,415,106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,049.31 : 651,614.63 = 651,614.63 : x
  2. Step 2: Convert to fraction form
    300,049.31/651,614.63 = 651,614.63/x
  3. Step 3: Cross multiply
    300,049.31x = 651,614.63 × 651,614.63
  4. Step 4: Simplify right side
    300,049.31x = 424,601,619,513.89
  5. Step 5: Solve for x
    x = 424,601,619,513.89/300,049.31
  6. Step 6: Final answer
    x = 1,415,106.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.