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Finding the Third Proportional to 349,455 and 764,337

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Solution

The third proportional to 349,455 and 764,337 is: 1,671,777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,455 : 764,337 = 764,337 : x
  2. Step 2: Convert to fraction form
    349,455/764,337 = 764,337/x
  3. Step 3: Cross multiply
    349,455x = 764,337 × 764,337
  4. Step 4: Simplify right side
    349,455x = 584,211,049,569
  5. Step 5: Solve for x
    x = 584,211,049,569/349,455
  6. Step 6: Final answer
    x = 1,671,777.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.