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Finding the Third Proportional to 213,084 and 446,580

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Solution

The third proportional to 213,084 and 446,580 is: 935,939.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,084 : 446,580 = 446,580 : x
  2. Step 2: Convert to fraction form
    213,084/446,580 = 446,580/x
  3. Step 3: Cross multiply
    213,084x = 446,580 × 446,580
  4. Step 4: Simplify right side
    213,084x = 199,433,696,400
  5. Step 5: Solve for x
    x = 199,433,696,400/213,084
  6. Step 6: Final answer
    x = 935,939.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.