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Finding the Third Proportional to 349,468 and 764,364

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Solution

The third proportional to 349,468 and 764,364 is: 1,671,833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,468 : 764,364 = 764,364 : x
  2. Step 2: Convert to fraction form
    349,468/764,364 = 764,364/x
  3. Step 3: Cross multiply
    349,468x = 764,364 × 764,364
  4. Step 4: Simplify right side
    349,468x = 584,252,324,496
  5. Step 5: Solve for x
    x = 584,252,324,496/349,468
  6. Step 6: Final answer
    x = 1,671,833.54

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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.