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Finding the Third Proportional to 350,023.50 and 763,399.69

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Solution

The third proportional to 350,023.50 and 763,399.69 is: 1,664,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,023.50 : 763,399.69 = 763,399.69 : x
  2. Step 2: Convert to fraction form
    350,023.50/763,399.69 = 763,399.69/x
  3. Step 3: Cross multiply
    350,023.50x = 763,399.69 × 763,399.69
  4. Step 4: Simplify right side
    350,023.50x = 582,779,082,875.10
  5. Step 5: Solve for x
    x = 582,779,082,875.10/350,023.50
  6. Step 6: Final answer
    x = 1,664,971.30

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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.