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Finding the Third Proportional to 236,432 and 353,813

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Solution

The third proportional to 236,432 and 353,813 is: 529,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,432 : 353,813 = 353,813 : x
  2. Step 2: Convert to fraction form
    236,432/353,813 = 353,813/x
  3. Step 3: Cross multiply
    236,432x = 353,813 × 353,813
  4. Step 4: Simplify right side
    236,432x = 125,183,638,969
  5. Step 5: Solve for x
    x = 125,183,638,969/236,432
  6. Step 6: Final answer
    x = 529,469.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.