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Finding the Third Proportional to 211,424.50 and 443,608.50

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Solution

The third proportional to 211,424.50 and 443,608.50 is: 930,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,424.50 : 443,608.50 = 443,608.50 : x
  2. Step 2: Convert to fraction form
    211,424.50/443,608.50 = 443,608.50/x
  3. Step 3: Cross multiply
    211,424.50x = 443,608.50 × 443,608.50
  4. Step 4: Simplify right side
    211,424.50x = 196,788,501,272.25
  5. Step 5: Solve for x
    x = 196,788,501,272.25/211,424.50
  6. Step 6: Final answer
    x = 930,774.35

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