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Finding the Third Proportional to 213,522.75 and 437,703.75

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Solution

The third proportional to 213,522.75 and 437,703.75 is: 897,256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,522.75 : 437,703.75 = 437,703.75 : x
  2. Step 2: Convert to fraction form
    213,522.75/437,703.75 = 437,703.75/x
  3. Step 3: Cross multiply
    213,522.75x = 437,703.75 × 437,703.75
  4. Step 4: Simplify right side
    213,522.75x = 191,584,572,764.06
  5. Step 5: Solve for x
    x = 191,584,572,764.06/213,522.75
  6. Step 6: Final answer
    x = 897,256.02

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.