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Finding the Third Proportional to 388,184 and 848,336

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Solution

The third proportional to 388,184 and 848,336 is: 1,853,950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,184 : 848,336 = 848,336 : x
  2. Step 2: Convert to fraction form
    388,184/848,336 = 848,336/x
  3. Step 3: Cross multiply
    388,184x = 848,336 × 848,336
  4. Step 4: Simplify right side
    388,184x = 719,673,968,896
  5. Step 5: Solve for x
    x = 719,673,968,896/388,184
  6. Step 6: Final answer
    x = 1,853,950.62

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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.