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Finding the Third Proportional to 384,160.50 and 838,305

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Solution

The third proportional to 384,160.50 and 838,305 is: 1,829,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,160.50 : 838,305 = 838,305 : x
  2. Step 2: Convert to fraction form
    384,160.50/838,305 = 838,305/x
  3. Step 3: Cross multiply
    384,160.50x = 838,305 × 838,305
  4. Step 4: Simplify right side
    384,160.50x = 702,755,273,025
  5. Step 5: Solve for x
    x = 702,755,273,025/384,160.50
  6. Step 6: Final answer
    x = 1,829,327.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.