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Finding the Third Proportional to 247,808 and 384,256

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Solution

The third proportional to 247,808 and 384,256 is: 595,834.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,808 : 384,256 = 384,256 : x
  2. Step 2: Convert to fraction form
    247,808/384,256 = 384,256/x
  3. Step 3: Cross multiply
    247,808x = 384,256 × 384,256
  4. Step 4: Simplify right side
    247,808x = 147,652,673,536
  5. Step 5: Solve for x
    x = 147,652,673,536/247,808
  6. Step 6: Final answer
    x = 595,834.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.