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Finding the Third Proportional to 349,467 and 764,361

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Solution

The third proportional to 349,467 and 764,361 is: 1,671,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,467 : 764,361 = 764,361 : x
  2. Step 2: Convert to fraction form
    349,467/764,361 = 764,361/x
  3. Step 3: Cross multiply
    349,467x = 764,361 × 764,361
  4. Step 4: Simplify right side
    349,467x = 584,247,738,321
  5. Step 5: Solve for x
    x = 584,247,738,321/349,467
  6. Step 6: Final answer
    x = 1,671,825.20

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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.