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Finding the Third Proportional to 349,500,170 and 757,157,044

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Solution

The third proportional to 349,500,170 and 757,157,044 is: 1,640,304,750.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,500,170 : 757,157,044 = 757,157,044 : x
  2. Step 2: Convert to fraction form
    349,500,170/757,157,044 = 757,157,044/x
  3. Step 3: Cross multiply
    349,500,170x = 757,157,044 × 757,157,044
  4. Step 4: Simplify right side
    349,500,170x = 573,286,789,278,817,920
  5. Step 5: Solve for x
    x = 573,286,789,278,817,920/349,500,170
  6. Step 6: Final answer
    x = 1,640,304,750.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.