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Finding the Third Proportional to 305,512.50 and 456,219

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Solution

The third proportional to 305,512.50 and 456,219 is: 681,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,512.50 : 456,219 = 456,219 : x
  2. Step 2: Convert to fraction form
    305,512.50/456,219 = 456,219/x
  3. Step 3: Cross multiply
    305,512.50x = 456,219 × 456,219
  4. Step 4: Simplify right side
    305,512.50x = 208,135,775,961
  5. Step 5: Solve for x
    x = 208,135,775,961/305,512.50
  6. Step 6: Final answer
    x = 681,267.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.