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Finding the Third Proportional to 347,433,204 and 529,290,470

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Solution

The third proportional to 347,433,204 and 529,290,470 is: 806,337,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,433,204 : 529,290,470 = 529,290,470 : x
  2. Step 2: Convert to fraction form
    347,433,204/529,290,470 = 529,290,470/x
  3. Step 3: Cross multiply
    347,433,204x = 529,290,470 × 529,290,470
  4. Step 4: Simplify right side
    347,433,204x = 280,148,401,632,820,896
  5. Step 5: Solve for x
    x = 280,148,401,632,820,896/347,433,204
  6. Step 6: Final answer
    x = 806,337,443.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.