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Finding the Third Proportional to 361,887 and 764,598

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Solution

The third proportional to 361,887 and 764,598 is: 1,615,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,887 : 764,598 = 764,598 : x
  2. Step 2: Convert to fraction form
    361,887/764,598 = 764,598/x
  3. Step 3: Cross multiply
    361,887x = 764,598 × 764,598
  4. Step 4: Simplify right side
    361,887x = 584,610,101,604
  5. Step 5: Solve for x
    x = 584,610,101,604/361,887
  6. Step 6: Final answer
    x = 1,615,449.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.