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Finding the Third Proportional to 217,586 and 477,994

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Solution

The third proportional to 217,586 and 477,994 is: 1,050,059.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,586 : 477,994 = 477,994 : x
  2. Step 2: Convert to fraction form
    217,586/477,994 = 477,994/x
  3. Step 3: Cross multiply
    217,586x = 477,994 × 477,994
  4. Step 4: Simplify right side
    217,586x = 228,478,264,036
  5. Step 5: Solve for x
    x = 228,478,264,036/217,586
  6. Step 6: Final answer
    x = 1,050,059.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.