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Finding the Third Proportional to 353,500,532 and 768,190,591

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Solution

The third proportional to 353,500,532 and 768,190,591 is: 1,669,351,898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,500,532 : 768,190,591 = 768,190,591 : x
  2. Step 2: Convert to fraction form
    353,500,532/768,190,591 = 768,190,591/x
  3. Step 3: Cross multiply
    353,500,532x = 768,190,591 × 768,190,591
  4. Step 4: Simplify right side
    353,500,532x = 590,116,784,100,929,280
  5. Step 5: Solve for x
    x = 590,116,784,100,929,280/353,500,532
  6. Step 6: Final answer
    x = 1,669,351,898.18

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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.