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Finding the Third Proportional to 384,401 and 825,637

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Solution

The third proportional to 384,401 and 825,637 is: 1,773,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,401 : 825,637 = 825,637 : x
  2. Step 2: Convert to fraction form
    384,401/825,637 = 825,637/x
  3. Step 3: Cross multiply
    384,401x = 825,637 × 825,637
  4. Step 4: Simplify right side
    384,401x = 681,676,455,769
  5. Step 5: Solve for x
    x = 681,676,455,769/384,401
  6. Step 6: Final answer
    x = 1,773,347.25

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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.