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Finding the Third Proportional to 369,806 and 757,136

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Solution

The third proportional to 369,806 and 757,136 is: 1,550,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,806 : 757,136 = 757,136 : x
  2. Step 2: Convert to fraction form
    369,806/757,136 = 757,136/x
  3. Step 3: Cross multiply
    369,806x = 757,136 × 757,136
  4. Step 4: Simplify right side
    369,806x = 573,254,922,496
  5. Step 5: Solve for x
    x = 573,254,922,496/369,806
  6. Step 6: Final answer
    x = 1,550,150.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.