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Finding the Third Proportional to 430,340 and 945,608

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Solution

The third proportional to 430,340 and 945,608 is: 2,077,832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,340 : 945,608 = 945,608 : x
  2. Step 2: Convert to fraction form
    430,340/945,608 = 945,608/x
  3. Step 3: Cross multiply
    430,340x = 945,608 × 945,608
  4. Step 4: Simplify right side
    430,340x = 894,174,489,664
  5. Step 5: Solve for x
    x = 894,174,489,664/430,340
  6. Step 6: Final answer
    x = 2,077,832.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.