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Finding the Third Proportional to 344,214.56 and 749,670.75

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Solution

The third proportional to 344,214.56 and 749,670.75 is: 1,632,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,214.56 : 749,670.75 = 749,670.75 : x
  2. Step 2: Convert to fraction form
    344,214.56/749,670.75 = 749,670.75/x
  3. Step 3: Cross multiply
    344,214.56x = 749,670.75 × 749,670.75
  4. Step 4: Simplify right side
    344,214.56x = 562,006,233,405.56
  5. Step 5: Solve for x
    x = 562,006,233,405.56/344,214.56
  6. Step 6: Final answer
    x = 1,632,720.68

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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.