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Finding the Third Proportional to 348,568 and 521,464

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Solution

The third proportional to 348,568 and 521,464 is: 780,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,568 : 521,464 = 521,464 : x
  2. Step 2: Convert to fraction form
    348,568/521,464 = 521,464/x
  3. Step 3: Cross multiply
    348,568x = 521,464 × 521,464
  4. Step 4: Simplify right side
    348,568x = 271,924,703,296
  5. Step 5: Solve for x
    x = 271,924,703,296/348,568
  6. Step 6: Final answer
    x = 780,119.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.