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Finding the Third Proportional to 354,201 and 764,373

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Solution

The third proportional to 354,201 and 764,373 is: 1,649,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,201 : 764,373 = 764,373 : x
  2. Step 2: Convert to fraction form
    354,201/764,373 = 764,373/x
  3. Step 3: Cross multiply
    354,201x = 764,373 × 764,373
  4. Step 4: Simplify right side
    354,201x = 584,266,083,129
  5. Step 5: Solve for x
    x = 584,266,083,129/354,201
  6. Step 6: Final answer
    x = 1,649,532.56

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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.