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Finding the Third Proportional to 293,859 and 436,468.50

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Solution

The third proportional to 293,859 and 436,468.50 is: 648,286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,859 : 436,468.50 = 436,468.50 : x
  2. Step 2: Convert to fraction form
    293,859/436,468.50 = 436,468.50/x
  3. Step 3: Cross multiply
    293,859x = 436,468.50 × 436,468.50
  4. Step 4: Simplify right side
    293,859x = 190,504,751,492.25
  5. Step 5: Solve for x
    x = 190,504,751,492.25/293,859
  6. Step 6: Final answer
    x = 648,286.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.