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Finding the Third Proportional to 408,493.50 and 882,579

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Solution

The third proportional to 408,493.50 and 882,579 is: 1,906,874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,493.50 : 882,579 = 882,579 : x
  2. Step 2: Convert to fraction form
    408,493.50/882,579 = 882,579/x
  3. Step 3: Cross multiply
    408,493.50x = 882,579 × 882,579
  4. Step 4: Simplify right side
    408,493.50x = 778,945,691,241
  5. Step 5: Solve for x
    x = 778,945,691,241/408,493.50
  6. Step 6: Final answer
    x = 1,906,874.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.