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Finding the Third Proportional to 209,010 and 451,554

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Solution

The third proportional to 209,010 and 451,554 is: 975,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,010 : 451,554 = 451,554 : x
  2. Step 2: Convert to fraction form
    209,010/451,554 = 451,554/x
  3. Step 3: Cross multiply
    209,010x = 451,554 × 451,554
  4. Step 4: Simplify right side
    209,010x = 203,901,014,916
  5. Step 5: Solve for x
    x = 203,901,014,916/209,010
  6. Step 6: Final answer
    x = 975,556.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.