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Finding the Third Proportional to 348,727.50 and 739,309.50

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Solution

The third proportional to 348,727.50 and 739,309.50 is: 1,567,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,727.50 : 739,309.50 = 739,309.50 : x
  2. Step 2: Convert to fraction form
    348,727.50/739,309.50 = 739,309.50/x
  3. Step 3: Cross multiply
    348,727.50x = 739,309.50 × 739,309.50
  4. Step 4: Simplify right side
    348,727.50x = 546,578,536,790.25
  5. Step 5: Solve for x
    x = 546,578,536,790.25/348,727.50
  6. Step 6: Final answer
    x = 1,567,351.40

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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.