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Finding the Third Proportional to 405,237 and 873,327

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Solution

The third proportional to 405,237 and 873,327 is: 1,882,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,237 : 873,327 = 873,327 : x
  2. Step 2: Convert to fraction form
    405,237/873,327 = 873,327/x
  3. Step 3: Cross multiply
    405,237x = 873,327 × 873,327
  4. Step 4: Simplify right side
    405,237x = 762,700,048,929
  5. Step 5: Solve for x
    x = 762,700,048,929/405,237
  6. Step 6: Final answer
    x = 1,882,108.62

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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.