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Finding the Third Proportional to 590,096 and 892,188

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Solution

The third proportional to 590,096 and 892,188 is: 1,348,932.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,096 : 892,188 = 892,188 : x
  2. Step 2: Convert to fraction form
    590,096/892,188 = 892,188/x
  3. Step 3: Cross multiply
    590,096x = 892,188 × 892,188
  4. Step 4: Simplify right side
    590,096x = 795,999,427,344
  5. Step 5: Solve for x
    x = 795,999,427,344/590,096
  6. Step 6: Final answer
    x = 1,348,932.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.