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Finding the Third Proportional to 349,084,137.38 and 520,598,974.50

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Solution

The third proportional to 349,084,137.38 and 520,598,974.50 is: 776,383,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,084,137.38 : 520,598,974.50 = 520,598,974.50 : x
  2. Step 2: Convert to fraction form
    349,084,137.38/520,598,974.50 = 520,598,974.50/x
  3. Step 3: Cross multiply
    349,084,137.38x = 520,598,974.50 × 520,598,974.50
  4. Step 4: Simplify right side
    349,084,137.38x = 271,023,292,250,451,648
  5. Step 5: Solve for x
    x = 271,023,292,250,451,648/349,084,137.38
  6. Step 6: Final answer
    x = 776,383,866.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.