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Finding the Third Proportional to 590,019.19 and 1,304,059.50

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Solution

The third proportional to 590,019.19 and 1,304,059.50 is: 2,882,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,019.19 : 1,304,059.50 = 1,304,059.50 : x
  2. Step 2: Convert to fraction form
    590,019.19/1,304,059.50 = 1,304,059.50/x
  3. Step 3: Cross multiply
    590,019.19x = 1,304,059.50 × 1,304,059.50
  4. Step 4: Simplify right side
    590,019.19x = 1,700,571,179,540.25
  5. Step 5: Solve for x
    x = 1,700,571,179,540.25/590,019.19
  6. Step 6: Final answer
    x = 2,882,230.30

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.