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Finding the Third Proportional to 362,343.38 and 771,342.75

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Solution

The third proportional to 362,343.38 and 771,342.75 is: 1,642,005.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,343.38 : 771,342.75 = 771,342.75 : x
  2. Step 2: Convert to fraction form
    362,343.38/771,342.75 = 771,342.75/x
  3. Step 3: Cross multiply
    362,343.38x = 771,342.75 × 771,342.75
  4. Step 4: Simplify right side
    362,343.38x = 594,969,637,977.56
  5. Step 5: Solve for x
    x = 594,969,637,977.56/362,343.38
  6. Step 6: Final answer
    x = 1,642,005.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.