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Finding the Third Proportional to 350,932.50 and 531,352.13

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Solution

The third proportional to 350,932.50 and 531,352.13 is: 804,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,932.50 : 531,352.13 = 531,352.13 : x
  2. Step 2: Convert to fraction form
    350,932.50/531,352.13 = 531,352.13/x
  3. Step 3: Cross multiply
    350,932.50x = 531,352.13 × 531,352.13
  4. Step 4: Simplify right side
    350,932.50x = 282,335,080,742.02
  5. Step 5: Solve for x
    x = 282,335,080,742.02/350,932.50
  6. Step 6: Final answer
    x = 804,528.17

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