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Finding the Third Proportional to 551,183 and 780,136

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Solution

The third proportional to 551,183 and 780,136 is: 1,104,192.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,183 : 780,136 = 780,136 : x
  2. Step 2: Convert to fraction form
    551,183/780,136 = 780,136/x
  3. Step 3: Cross multiply
    551,183x = 780,136 × 780,136
  4. Step 4: Simplify right side
    551,183x = 608,612,178,496
  5. Step 5: Solve for x
    x = 608,612,178,496/551,183
  6. Step 6: Final answer
    x = 1,104,192.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.