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Finding the Third Proportional to 293,860 and 436,468

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Solution

The third proportional to 293,860 and 436,468 is: 648,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,860 : 436,468 = 436,468 : x
  2. Step 2: Convert to fraction form
    293,860/436,468 = 436,468/x
  3. Step 3: Cross multiply
    293,860x = 436,468 × 436,468
  4. Step 4: Simplify right side
    293,860x = 190,504,315,024
  5. Step 5: Solve for x
    x = 190,504,315,024/293,860
  6. Step 6: Final answer
    x = 648,282.57

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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.