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Finding the Third Proportional to 213,249.75 and 459,304.50

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Solution

The third proportional to 213,249.75 and 459,304.50 is: 989,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,249.75 : 459,304.50 = 459,304.50 : x
  2. Step 2: Convert to fraction form
    213,249.75/459,304.50 = 459,304.50/x
  3. Step 3: Cross multiply
    213,249.75x = 459,304.50 × 459,304.50
  4. Step 4: Simplify right side
    213,249.75x = 210,960,623,720.25
  5. Step 5: Solve for x
    x = 210,960,623,720.25/213,249.75
  6. Step 6: Final answer
    x = 989,265.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.