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Finding the Third Proportional to 348,777.75 and 747,376.50

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Solution

The third proportional to 348,777.75 and 747,376.50 is: 1,601,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,777.75 : 747,376.50 = 747,376.50 : x
  2. Step 2: Convert to fraction form
    348,777.75/747,376.50 = 747,376.50/x
  3. Step 3: Cross multiply
    348,777.75x = 747,376.50 × 747,376.50
  4. Step 4: Simplify right side
    348,777.75x = 558,571,632,752.25
  5. Step 5: Solve for x
    x = 558,571,632,752.25/348,777.75
  6. Step 6: Final answer
    x = 1,601,511.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.