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Finding the Third Proportional to 305,272.50 and 448,761.75

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Solution

The third proportional to 305,272.50 and 448,761.75 is: 659,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,272.50 : 448,761.75 = 448,761.75 : x
  2. Step 2: Convert to fraction form
    305,272.50/448,761.75 = 448,761.75/x
  3. Step 3: Cross multiply
    305,272.50x = 448,761.75 × 448,761.75
  4. Step 4: Simplify right side
    305,272.50x = 201,387,108,263.06
  5. Step 5: Solve for x
    x = 201,387,108,263.06/305,272.50
  6. Step 6: Final answer
    x = 659,696.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.