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Finding the Third Proportional to 388,144 and 848,701

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Solution

The third proportional to 388,144 and 848,701 is: 1,855,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,144 : 848,701 = 848,701 : x
  2. Step 2: Convert to fraction form
    388,144/848,701 = 848,701/x
  3. Step 3: Cross multiply
    388,144x = 848,701 × 848,701
  4. Step 4: Simplify right side
    388,144x = 720,293,387,401
  5. Step 5: Solve for x
    x = 720,293,387,401/388,144
  6. Step 6: Final answer
    x = 1,855,737.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.