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Finding the Third Proportional to 401,932.50 and 622,072

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Solution

The third proportional to 401,932.50 and 622,072 is: 962,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,932.50 : 622,072 = 622,072 : x
  2. Step 2: Convert to fraction form
    401,932.50/622,072 = 622,072/x
  3. Step 3: Cross multiply
    401,932.50x = 622,072 × 622,072
  4. Step 4: Simplify right side
    401,932.50x = 386,973,573,184
  5. Step 5: Solve for x
    x = 386,973,573,184/401,932.50
  6. Step 6: Final answer
    x = 962,782.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.