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Finding the Third Proportional to 213,314 and 324,291

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Solution

The third proportional to 213,314 and 324,291 is: 493,003.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,314 : 324,291 = 324,291 : x
  2. Step 2: Convert to fraction form
    213,314/324,291 = 324,291/x
  3. Step 3: Cross multiply
    213,314x = 324,291 × 324,291
  4. Step 4: Simplify right side
    213,314x = 105,164,652,681
  5. Step 5: Solve for x
    x = 105,164,652,681/213,314
  6. Step 6: Final answer
    x = 493,003.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.