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Finding the Third Proportional to 349,500,174 and 757,157,052

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Solution

The third proportional to 349,500,174 and 757,157,052 is: 1,640,304,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,500,174 : 757,157,052 = 757,157,052 : x
  2. Step 2: Convert to fraction form
    349,500,174/757,157,052 = 757,157,052/x
  3. Step 3: Cross multiply
    349,500,174x = 757,157,052 × 757,157,052
  4. Step 4: Simplify right side
    349,500,174x = 573,286,801,393,330,688
  5. Step 5: Solve for x
    x = 573,286,801,393,330,688/349,500,174
  6. Step 6: Final answer
    x = 1,640,304,766.75

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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.