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Finding the Third Proportional to 347,370 and 757,164

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Solution

The third proportional to 347,370 and 757,164 is: 1,650,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,370 : 757,164 = 757,164 : x
  2. Step 2: Convert to fraction form
    347,370/757,164 = 757,164/x
  3. Step 3: Cross multiply
    347,370x = 757,164 × 757,164
  4. Step 4: Simplify right side
    347,370x = 573,297,322,896
  5. Step 5: Solve for x
    x = 573,297,322,896/347,370
  6. Step 6: Final answer
    x = 1,650,393.88

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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.