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Finding the Third Proportional to 303,112.13 and 456,900.75

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Solution

The third proportional to 303,112.13 and 456,900.75 is: 688,716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,112.13 : 456,900.75 = 456,900.75 : x
  2. Step 2: Convert to fraction form
    303,112.13/456,900.75 = 456,900.75/x
  3. Step 3: Cross multiply
    303,112.13x = 456,900.75 × 456,900.75
  4. Step 4: Simplify right side
    303,112.13x = 208,758,295,350.56
  5. Step 5: Solve for x
    x = 208,758,295,350.56/303,112.13
  6. Step 6: Final answer
    x = 688,716.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.