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Finding the Third Proportional to 288,832.50 and 616,305

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Solution

The third proportional to 288,832.50 and 616,305 is: 1,315,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,832.50 : 616,305 = 616,305 : x
  2. Step 2: Convert to fraction form
    288,832.50/616,305 = 616,305/x
  3. Step 3: Cross multiply
    288,832.50x = 616,305 × 616,305
  4. Step 4: Simplify right side
    288,832.50x = 379,831,853,025
  5. Step 5: Solve for x
    x = 379,831,853,025/288,832.50
  6. Step 6: Final answer
    x = 1,315,059.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.