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Finding the Third Proportional to 366,000.75 and 754,600.50

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Solution

The third proportional to 366,000.75 and 754,600.50 is: 1,555,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,000.75 : 754,600.50 = 754,600.50 : x
  2. Step 2: Convert to fraction form
    366,000.75/754,600.50 = 754,600.50/x
  3. Step 3: Cross multiply
    366,000.75x = 754,600.50 × 754,600.50
  4. Step 4: Simplify right side
    366,000.75x = 569,421,914,600.25
  5. Step 5: Solve for x
    x = 569,421,914,600.25/366,000.75
  6. Step 6: Final answer
    x = 1,555,794.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.