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Finding the Third Proportional to 274,719,737.53 and 589,319,531.44

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Solution

The third proportional to 274,719,737.53 and 589,319,531.44 is: 1,264,188,417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,719,737.53 : 589,319,531.44 = 589,319,531.44 : x
  2. Step 2: Convert to fraction form
    274,719,737.53/589,319,531.44 = 589,319,531.44/x
  3. Step 3: Cross multiply
    274,719,737.53x = 589,319,531.44 × 589,319,531.44
  4. Step 4: Simplify right side
    274,719,737.53x = 347,297,510,133,714,560
  5. Step 5: Solve for x
    x = 347,297,510,133,714,560/274,719,737.53
  6. Step 6: Final answer
    x = 1,264,188,417.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.