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Finding the Third Proportional to 445,168 and 689,742

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Solution

The third proportional to 445,168 and 689,742 is: 1,068,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,168 : 689,742 = 689,742 : x
  2. Step 2: Convert to fraction form
    445,168/689,742 = 689,742/x
  3. Step 3: Cross multiply
    445,168x = 689,742 × 689,742
  4. Step 4: Simplify right side
    445,168x = 475,744,026,564
  5. Step 5: Solve for x
    x = 475,744,026,564/445,168
  6. Step 6: Final answer
    x = 1,068,684.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.