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Finding the Third Proportional to 365,207,204 and 743,168,951

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Solution

The third proportional to 365,207,204 and 743,168,951 is: 1,512,292,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,207,204 : 743,168,951 = 743,168,951 : x
  2. Step 2: Convert to fraction form
    365,207,204/743,168,951 = 743,168,951/x
  3. Step 3: Cross multiply
    365,207,204x = 743,168,951 × 743,168,951
  4. Step 4: Simplify right side
    365,207,204x = 552,300,089,730,440,384
  5. Step 5: Solve for x
    x = 552,300,089,730,440,384/365,207,204
  6. Step 6: Final answer
    x = 1,512,292,429.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.