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Finding the Third Proportional to 446,043 and 718,194

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Solution

The third proportional to 446,043 and 718,194 is: 1,156,396.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,043 : 718,194 = 718,194 : x
  2. Step 2: Convert to fraction form
    446,043/718,194 = 718,194/x
  3. Step 3: Cross multiply
    446,043x = 718,194 × 718,194
  4. Step 4: Simplify right side
    446,043x = 515,802,621,636
  5. Step 5: Solve for x
    x = 515,802,621,636/446,043
  6. Step 6: Final answer
    x = 1,156,396.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.