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Finding the Third Proportional to 348,364 and 521,192

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Solution

The third proportional to 348,364 and 521,192 is: 779,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,364 : 521,192 = 521,192 : x
  2. Step 2: Convert to fraction form
    348,364/521,192 = 521,192/x
  3. Step 3: Cross multiply
    348,364x = 521,192 × 521,192
  4. Step 4: Simplify right side
    348,364x = 271,641,100,864
  5. Step 5: Solve for x
    x = 271,641,100,864/348,364
  6. Step 6: Final answer
    x = 779,762.26

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Why These Related Problems?

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