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Finding the Third Proportional to 296,096 and 651,238

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Solution

The third proportional to 296,096 and 651,238 is: 1,432,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,096 : 651,238 = 651,238 : x
  2. Step 2: Convert to fraction form
    296,096/651,238 = 651,238/x
  3. Step 3: Cross multiply
    296,096x = 651,238 × 651,238
  4. Step 4: Simplify right side
    296,096x = 424,110,932,644
  5. Step 5: Solve for x
    x = 424,110,932,644/296,096
  6. Step 6: Final answer
    x = 1,432,342.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.