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Finding the Third Proportional to 228,969 and 507,936

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Solution

The third proportional to 228,969 and 507,936 is: 1,126,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,969 : 507,936 = 507,936 : x
  2. Step 2: Convert to fraction form
    228,969/507,936 = 507,936/x
  3. Step 3: Cross multiply
    228,969x = 507,936 × 507,936
  4. Step 4: Simplify right side
    228,969x = 257,998,980,096
  5. Step 5: Solve for x
    x = 257,998,980,096/228,969
  6. Step 6: Final answer
    x = 1,126,785.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.