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Finding the Third Proportional to 354,244 and 764,460

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Solution

The third proportional to 354,244 and 764,460 is: 1,649,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,244 : 764,460 = 764,460 : x
  2. Step 2: Convert to fraction form
    354,244/764,460 = 764,460/x
  3. Step 3: Cross multiply
    354,244x = 764,460 × 764,460
  4. Step 4: Simplify right side
    354,244x = 584,399,091,600
  5. Step 5: Solve for x
    x = 584,399,091,600/354,244
  6. Step 6: Final answer
    x = 1,649,707.80

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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.