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Finding the Third Proportional to 349,486 and 764,399

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Solution

The third proportional to 349,486 and 764,399 is: 1,671,900.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,486 : 764,399 = 764,399 : x
  2. Step 2: Convert to fraction form
    349,486/764,399 = 764,399/x
  3. Step 3: Cross multiply
    349,486x = 764,399 × 764,399
  4. Step 4: Simplify right side
    349,486x = 584,305,831,201
  5. Step 5: Solve for x
    x = 584,305,831,201/349,486
  6. Step 6: Final answer
    x = 1,671,900.54

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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.