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Finding the Third Proportional to 384,200 and 563,844

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Solution

The third proportional to 384,200 and 563,844 is: 827,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,200 : 563,844 = 563,844 : x
  2. Step 2: Convert to fraction form
    384,200/563,844 = 563,844/x
  3. Step 3: Cross multiply
    384,200x = 563,844 × 563,844
  4. Step 4: Simplify right side
    384,200x = 317,920,056,336
  5. Step 5: Solve for x
    x = 317,920,056,336/384,200
  6. Step 6: Final answer
    x = 827,485.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.