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Finding the Third Proportional to 353,419,869.20 and 569,453,557.39

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Solution

The third proportional to 353,419,869.20 and 569,453,557.39 is: 917,541,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,419,869.20 : 569,453,557.39 = 569,453,557.39 : x
  2. Step 2: Convert to fraction form
    353,419,869.20/569,453,557.39 = 569,453,557.39/x
  3. Step 3: Cross multiply
    353,419,869.20x = 569,453,557.39 × 569,453,557.39
  4. Step 4: Simplify right side
    353,419,869.20x = 324,277,354,029,273,920
  5. Step 5: Solve for x
    x = 324,277,354,029,273,920/353,419,869.20
  6. Step 6: Final answer
    x = 917,541,378.66

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.