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Finding the Third Proportional to 349,463 and 764,353

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Solution

The third proportional to 349,463 and 764,353 is: 1,671,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,463 : 764,353 = 764,353 : x
  2. Step 2: Convert to fraction form
    349,463/764,353 = 764,353/x
  3. Step 3: Cross multiply
    349,463x = 764,353 × 764,353
  4. Step 4: Simplify right side
    349,463x = 584,235,508,609
  5. Step 5: Solve for x
    x = 584,235,508,609/349,463
  6. Step 6: Final answer
    x = 1,671,809.34

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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.