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Finding the Third Proportional to 377,048 and 813,136

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Solution

The third proportional to 377,048 and 813,136 is: 1,753,596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,048 : 813,136 = 813,136 : x
  2. Step 2: Convert to fraction form
    377,048/813,136 = 813,136/x
  3. Step 3: Cross multiply
    377,048x = 813,136 × 813,136
  4. Step 4: Simplify right side
    377,048x = 661,190,154,496
  5. Step 5: Solve for x
    x = 661,190,154,496/377,048
  6. Step 6: Final answer
    x = 1,753,596.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.