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Finding the Third Proportional to 376,136.16 and 733,433.91

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Solution

The third proportional to 376,136.16 and 733,433.91 is: 1,430,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,136.16 : 733,433.91 = 733,433.91 : x
  2. Step 2: Convert to fraction form
    376,136.16/733,433.91 = 733,433.91/x
  3. Step 3: Cross multiply
    376,136.16x = 733,433.91 × 733,433.91
  4. Step 4: Simplify right side
    376,136.16x = 537,925,294,837.13
  5. Step 5: Solve for x
    x = 537,925,294,837.13/376,136.16
  6. Step 6: Final answer
    x = 1,430,134.50

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.