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Finding the Third Proportional to 351,816 and 686,136

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Solution

The third proportional to 351,816 and 686,136 is: 1,338,150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,816 : 686,136 = 686,136 : x
  2. Step 2: Convert to fraction form
    351,816/686,136 = 686,136/x
  3. Step 3: Cross multiply
    351,816x = 686,136 × 686,136
  4. Step 4: Simplify right side
    351,816x = 470,782,610,496
  5. Step 5: Solve for x
    x = 470,782,610,496/351,816
  6. Step 6: Final answer
    x = 1,338,150.09

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Why These Related Problems?

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