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Finding the Third Proportional to 491,064 and 743,236

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Solution

The third proportional to 491,064 and 743,236 is: 1,124,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,064 : 743,236 = 743,236 : x
  2. Step 2: Convert to fraction form
    491,064/743,236 = 743,236/x
  3. Step 3: Cross multiply
    491,064x = 743,236 × 743,236
  4. Step 4: Simplify right side
    491,064x = 552,399,751,696
  5. Step 5: Solve for x
    x = 552,399,751,696/491,064
  6. Step 6: Final answer
    x = 1,124,903.78

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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.