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Finding the Third Proportional to 347,390 and 757,204

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Solution

The third proportional to 347,390 and 757,204 is: 1,650,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,390 : 757,204 = 757,204 : x
  2. Step 2: Convert to fraction form
    347,390/757,204 = 757,204/x
  3. Step 3: Cross multiply
    347,390x = 757,204 × 757,204
  4. Step 4: Simplify right side
    347,390x = 573,357,897,616
  5. Step 5: Solve for x
    x = 573,357,897,616/347,390
  6. Step 6: Final answer
    x = 1,650,473.24

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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.