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Finding the Third Proportional to 296,071 and 651,186

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Solution

The third proportional to 296,071 and 651,186 is: 1,432,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,071 : 651,186 = 651,186 : x
  2. Step 2: Convert to fraction form
    296,071/651,186 = 651,186/x
  3. Step 3: Cross multiply
    296,071x = 651,186 × 651,186
  4. Step 4: Simplify right side
    296,071x = 424,043,206,596
  5. Step 5: Solve for x
    x = 424,043,206,596/296,071
  6. Step 6: Final answer
    x = 1,432,234.86

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