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Finding the Third Proportional to 388,164 and 848,739

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Solution

The third proportional to 388,164 and 848,739 is: 1,855,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,164 : 848,739 = 848,739 : x
  2. Step 2: Convert to fraction form
    388,164/848,739 = 848,739/x
  3. Step 3: Cross multiply
    388,164x = 848,739 × 848,739
  4. Step 4: Simplify right side
    388,164x = 720,357,890,121
  5. Step 5: Solve for x
    x = 720,357,890,121/388,164
  6. Step 6: Final answer
    x = 1,855,808.09

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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.