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Finding the Third Proportional to 354,024 and 764,586

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Solution

The third proportional to 354,024 and 764,586 is: 1,651,277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,024 : 764,586 = 764,586 : x
  2. Step 2: Convert to fraction form
    354,024/764,586 = 764,586/x
  3. Step 3: Cross multiply
    354,024x = 764,586 × 764,586
  4. Step 4: Simplify right side
    354,024x = 584,591,751,396
  5. Step 5: Solve for x
    x = 584,591,751,396/354,024
  6. Step 6: Final answer
    x = 1,651,277.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.