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Finding the Third Proportional to 353,992 and 764,332

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Solution

The third proportional to 353,992 and 764,332 is: 1,650,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,992 : 764,332 = 764,332 : x
  2. Step 2: Convert to fraction form
    353,992/764,332 = 764,332/x
  3. Step 3: Cross multiply
    353,992x = 764,332 × 764,332
  4. Step 4: Simplify right side
    353,992x = 584,203,406,224
  5. Step 5: Solve for x
    x = 584,203,406,224/353,992
  6. Step 6: Final answer
    x = 1,650,329.40

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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.