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Finding the Third Proportional to 405,135 and 873,067.50

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Solution

The third proportional to 405,135 and 873,067.50 is: 1,881,463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,135 : 873,067.50 = 873,067.50 : x
  2. Step 2: Convert to fraction form
    405,135/873,067.50 = 873,067.50/x
  3. Step 3: Cross multiply
    405,135x = 873,067.50 × 873,067.50
  4. Step 4: Simplify right side
    405,135x = 762,246,859,556.25
  5. Step 5: Solve for x
    x = 762,246,859,556.25/405,135
  6. Step 6: Final answer
    x = 1,881,463.86

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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.