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Finding the Third Proportional to 296,099 and 651,244

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Solution

The third proportional to 296,099 and 651,244 is: 1,432,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,099 : 651,244 = 651,244 : x
  2. Step 2: Convert to fraction form
    296,099/651,244 = 651,244/x
  3. Step 3: Cross multiply
    296,099x = 651,244 × 651,244
  4. Step 4: Simplify right side
    296,099x = 424,118,747,536
  5. Step 5: Solve for x
    x = 424,118,747,536/296,099
  6. Step 6: Final answer
    x = 1,432,354.54

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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.