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Finding the Third Proportional to 363,765,523.50 and 569,895,099.75

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Solution

The third proportional to 363,765,523.50 and 569,895,099.75 is: 892,829,044.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,765,523.50 : 569,895,099.75 = 569,895,099.75 : x
  2. Step 2: Convert to fraction form
    363,765,523.50/569,895,099.75 = 569,895,099.75/x
  3. Step 3: Cross multiply
    363,765,523.50x = 569,895,099.75 × 569,895,099.75
  4. Step 4: Simplify right side
    363,765,523.50x = 324,780,424,719,062,464
  5. Step 5: Solve for x
    x = 324,780,424,719,062,464/363,765,523.50
  6. Step 6: Final answer
    x = 892,829,044.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.