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Finding the Third Proportional to 384,530 and 573,609

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Solution

The third proportional to 384,530 and 573,609 is: 855,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,530 : 573,609 = 573,609 : x
  2. Step 2: Convert to fraction form
    384,530/573,609 = 573,609/x
  3. Step 3: Cross multiply
    384,530x = 573,609 × 573,609
  4. Step 4: Simplify right side
    384,530x = 329,027,284,881
  5. Step 5: Solve for x
    x = 329,027,284,881/384,530
  6. Step 6: Final answer
    x = 855,660.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.