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Finding the Third Proportional to 348,533 and 516,321

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Solution

The third proportional to 348,533 and 516,321 is: 764,884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,533 : 516,321 = 516,321 : x
  2. Step 2: Convert to fraction form
    348,533/516,321 = 516,321/x
  3. Step 3: Cross multiply
    348,533x = 516,321 × 516,321
  4. Step 4: Simplify right side
    348,533x = 266,587,375,041
  5. Step 5: Solve for x
    x = 266,587,375,041/348,533
  6. Step 6: Final answer
    x = 764,884.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.