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Finding the Third Proportional to 296,092 and 451,500

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Solution

The third proportional to 296,092 and 451,500 is: 688,476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,092 : 451,500 = 451,500 : x
  2. Step 2: Convert to fraction form
    296,092/451,500 = 451,500/x
  3. Step 3: Cross multiply
    296,092x = 451,500 × 451,500
  4. Step 4: Simplify right side
    296,092x = 203,852,250,000
  5. Step 5: Solve for x
    x = 203,852,250,000/296,092
  6. Step 6: Final answer
    x = 688,476.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.