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Finding the Third Proportional to 431,256 and 945,552

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Solution

The third proportional to 431,256 and 945,552 is: 2,073,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,256 : 945,552 = 945,552 : x
  2. Step 2: Convert to fraction form
    431,256/945,552 = 945,552/x
  3. Step 3: Cross multiply
    431,256x = 945,552 × 945,552
  4. Step 4: Simplify right side
    431,256x = 894,068,584,704
  5. Step 5: Solve for x
    x = 894,068,584,704/431,256
  6. Step 6: Final answer
    x = 2,073,173.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.