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Finding the Third Proportional to 288,305 and 619,236

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Solution

The third proportional to 288,305 and 619,236 is: 1,330,026.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,305 : 619,236 = 619,236 : x
  2. Step 2: Convert to fraction form
    288,305/619,236 = 619,236/x
  3. Step 3: Cross multiply
    288,305x = 619,236 × 619,236
  4. Step 4: Simplify right side
    288,305x = 383,453,223,696
  5. Step 5: Solve for x
    x = 383,453,223,696/288,305
  6. Step 6: Final answer
    x = 1,330,026.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.