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Finding the Third Proportional to 228,119 and 533,037

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Solution

The third proportional to 228,119 and 533,037 is: 1,245,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,119 : 533,037 = 533,037 : x
  2. Step 2: Convert to fraction form
    228,119/533,037 = 533,037/x
  3. Step 3: Cross multiply
    228,119x = 533,037 × 533,037
  4. Step 4: Simplify right side
    228,119x = 284,128,443,369
  5. Step 5: Solve for x
    x = 284,128,443,369/228,119
  6. Step 6: Final answer
    x = 1,245,527.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.