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Finding the Third Proportional to 353,961 and 764,271

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Solution

The third proportional to 353,961 and 764,271 is: 1,650,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,961 : 764,271 = 764,271 : x
  2. Step 2: Convert to fraction form
    353,961/764,271 = 764,271/x
  3. Step 3: Cross multiply
    353,961x = 764,271 × 764,271
  4. Step 4: Simplify right side
    353,961x = 584,110,161,441
  5. Step 5: Solve for x
    x = 584,110,161,441/353,961
  6. Step 6: Final answer
    x = 1,650,210.51

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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.