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Finding the Third Proportional to 384,399 and 825,633

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Solution

The third proportional to 384,399 and 825,633 is: 1,773,339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,399 : 825,633 = 825,633 : x
  2. Step 2: Convert to fraction form
    384,399/825,633 = 825,633/x
  3. Step 3: Cross multiply
    384,399x = 825,633 × 825,633
  4. Step 4: Simplify right side
    384,399x = 681,669,850,689
  5. Step 5: Solve for x
    x = 681,669,850,689/384,399
  6. Step 6: Final answer
    x = 1,773,339.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.