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Finding the Third Proportional to 296,094 and 651,234

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Solution

The third proportional to 296,094 and 651,234 is: 1,432,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,094 : 651,234 = 651,234 : x
  2. Step 2: Convert to fraction form
    296,094/651,234 = 651,234/x
  3. Step 3: Cross multiply
    296,094x = 651,234 × 651,234
  4. Step 4: Simplify right side
    296,094x = 424,105,722,756
  5. Step 5: Solve for x
    x = 424,105,722,756/296,094
  6. Step 6: Final answer
    x = 1,432,334.74

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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.