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Finding the Third Proportional to 350,082 and 763,513.50

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Solution

The third proportional to 350,082 and 763,513.50 is: 1,665,189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,082 : 763,513.50 = 763,513.50 : x
  2. Step 2: Convert to fraction form
    350,082/763,513.50 = 763,513.50/x
  3. Step 3: Cross multiply
    350,082x = 763,513.50 × 763,513.50
  4. Step 4: Simplify right side
    350,082x = 582,952,864,682.25
  5. Step 5: Solve for x
    x = 582,952,864,682.25/350,082
  6. Step 6: Final answer
    x = 1,665,189.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.