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Finding the Third Proportional to 302,833 and 440,152

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Solution

The third proportional to 302,833 and 440,152 is: 639,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,833 : 440,152 = 440,152 : x
  2. Step 2: Convert to fraction form
    302,833/440,152 = 440,152/x
  3. Step 3: Cross multiply
    302,833x = 440,152 × 440,152
  4. Step 4: Simplify right side
    302,833x = 193,733,783,104
  5. Step 5: Solve for x
    x = 193,733,783,104/302,833
  6. Step 6: Final answer
    x = 639,738.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.