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Finding the Third Proportional to 213,333 and 457,027.50

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Solution

The third proportional to 213,333 and 457,027.50 is: 979,099.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,333 : 457,027.50 = 457,027.50 : x
  2. Step 2: Convert to fraction form
    213,333/457,027.50 = 457,027.50/x
  3. Step 3: Cross multiply
    213,333x = 457,027.50 × 457,027.50
  4. Step 4: Simplify right side
    213,333x = 208,874,135,756.25
  5. Step 5: Solve for x
    x = 208,874,135,756.25/213,333
  6. Step 6: Final answer
    x = 979,099.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.