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Finding the Third Proportional to 348,588.56 and 739,022.06

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Solution

The third proportional to 348,588.56 and 739,022.06 is: 1,566,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,588.56 : 739,022.06 = 739,022.06 : x
  2. Step 2: Convert to fraction form
    348,588.56/739,022.06 = 739,022.06/x
  3. Step 3: Cross multiply
    348,588.56x = 739,022.06 × 739,022.06
  4. Step 4: Simplify right side
    348,588.56x = 546,153,608,861.75
  5. Step 5: Solve for x
    x = 546,153,608,861.75/348,588.56
  6. Step 6: Final answer
    x = 1,566,757.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.