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Finding the Third Proportional to 384,183 and 563,818

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Solution

The third proportional to 384,183 and 563,818 is: 827,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,183 : 563,818 = 563,818 : x
  2. Step 2: Convert to fraction form
    384,183/563,818 = 563,818/x
  3. Step 3: Cross multiply
    384,183x = 563,818 × 563,818
  4. Step 4: Simplify right side
    384,183x = 317,890,737,124
  5. Step 5: Solve for x
    x = 317,890,737,124/384,183
  6. Step 6: Final answer
    x = 827,446.13

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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.