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Finding the Third Proportional to 342,167,625 and 702,474,595.50

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Solution

The third proportional to 342,167,625 and 702,474,595.50 is: 1,442,189,503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,167,625 : 702,474,595.50 = 702,474,595.50 : x
  2. Step 2: Convert to fraction form
    342,167,625/702,474,595.50 = 702,474,595.50/x
  3. Step 3: Cross multiply
    342,167,625x = 702,474,595.50 × 702,474,595.50
  4. Step 4: Simplify right side
    342,167,625x = 493,470,557,322,888,640
  5. Step 5: Solve for x
    x = 493,470,557,322,888,640/342,167,625
  6. Step 6: Final answer
    x = 1,442,189,503.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.