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Finding the Third Proportional to 430,336.50 and 945,600

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Solution

The third proportional to 430,336.50 and 945,600 is: 2,077,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,336.50 : 945,600 = 945,600 : x
  2. Step 2: Convert to fraction form
    430,336.50/945,600 = 945,600/x
  3. Step 3: Cross multiply
    430,336.50x = 945,600 × 945,600
  4. Step 4: Simplify right side
    430,336.50x = 894,159,360,000
  5. Step 5: Solve for x
    x = 894,159,360,000/430,336.50
  6. Step 6: Final answer
    x = 2,077,814.36

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