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Finding the Third Proportional to 275,494.50 and 417,400.50

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Solution

The third proportional to 275,494.50 and 417,400.50 is: 632,401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,494.50 : 417,400.50 = 417,400.50 : x
  2. Step 2: Convert to fraction form
    275,494.50/417,400.50 = 417,400.50/x
  3. Step 3: Cross multiply
    275,494.50x = 417,400.50 × 417,400.50
  4. Step 4: Simplify right side
    275,494.50x = 174,223,177,400.25
  5. Step 5: Solve for x
    x = 174,223,177,400.25/275,494.50
  6. Step 6: Final answer
    x = 632,401.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.