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Finding the Third Proportional to 349,484 and 764,395

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Solution

The third proportional to 349,484 and 764,395 is: 1,671,892.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,484 : 764,395 = 764,395 : x
  2. Step 2: Convert to fraction form
    349,484/764,395 = 764,395/x
  3. Step 3: Cross multiply
    349,484x = 764,395 × 764,395
  4. Step 4: Simplify right side
    349,484x = 584,299,716,025
  5. Step 5: Solve for x
    x = 584,299,716,025/349,484
  6. Step 6: Final answer
    x = 1,671,892.61

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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.