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Finding the Third Proportional to 347,392 and 757,208

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Solution

The third proportional to 347,392 and 757,208 is: 1,650,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,392 : 757,208 = 757,208 : x
  2. Step 2: Convert to fraction form
    347,392/757,208 = 757,208/x
  3. Step 3: Cross multiply
    347,392x = 757,208 × 757,208
  4. Step 4: Simplify right side
    347,392x = 573,363,955,264
  5. Step 5: Solve for x
    x = 573,363,955,264/347,392
  6. Step 6: Final answer
    x = 1,650,481.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.