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Finding the Third Proportional to 324,100 and 430,068.50

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Solution

The third proportional to 324,100 and 430,068.50 is: 570,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,100 : 430,068.50 = 430,068.50 : x
  2. Step 2: Convert to fraction form
    324,100/430,068.50 = 430,068.50/x
  3. Step 3: Cross multiply
    324,100x = 430,068.50 × 430,068.50
  4. Step 4: Simplify right side
    324,100x = 184,958,914,692.25
  5. Step 5: Solve for x
    x = 184,958,914,692.25/324,100
  6. Step 6: Final answer
    x = 570,684.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.