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Finding the Third Proportional to 209,262 and 452,058

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Solution

The third proportional to 209,262 and 452,058 is: 976,557.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,262 : 452,058 = 452,058 : x
  2. Step 2: Convert to fraction form
    209,262/452,058 = 452,058/x
  3. Step 3: Cross multiply
    209,262x = 452,058 × 452,058
  4. Step 4: Simplify right side
    209,262x = 204,356,435,364
  5. Step 5: Solve for x
    x = 204,356,435,364/209,262
  6. Step 6: Final answer
    x = 976,557.79

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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.