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Finding the Third Proportional to 304,599 and 702,025.50

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Solution

The third proportional to 304,599 and 702,025.50 is: 1,617,995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,599 : 702,025.50 = 702,025.50 : x
  2. Step 2: Convert to fraction form
    304,599/702,025.50 = 702,025.50/x
  3. Step 3: Cross multiply
    304,599x = 702,025.50 × 702,025.50
  4. Step 4: Simplify right side
    304,599x = 492,839,802,650.25
  5. Step 5: Solve for x
    x = 492,839,802,650.25/304,599
  6. Step 6: Final answer
    x = 1,617,995.47

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.