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Finding the Third Proportional to 445,170 and 689,745

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Solution

The third proportional to 445,170 and 689,745 is: 1,068,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,170 : 689,745 = 689,745 : x
  2. Step 2: Convert to fraction form
    445,170/689,745 = 689,745/x
  3. Step 3: Cross multiply
    445,170x = 689,745 × 689,745
  4. Step 4: Simplify right side
    445,170x = 475,748,165,025
  5. Step 5: Solve for x
    x = 475,748,165,025/445,170
  6. Step 6: Final answer
    x = 1,068,688.74

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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.