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Finding the Third Proportional to 430,343 and 945,615

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Solution

The third proportional to 430,343 and 945,615 is: 2,077,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,343 : 945,615 = 945,615 : x
  2. Step 2: Convert to fraction form
    430,343/945,615 = 945,615/x
  3. Step 3: Cross multiply
    430,343x = 945,615 × 945,615
  4. Step 4: Simplify right side
    430,343x = 894,187,728,225
  5. Step 5: Solve for x
    x = 894,187,728,225/430,343
  6. Step 6: Final answer
    x = 2,077,848.90

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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.