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Finding the Third Proportional to 210,775.50 and 443,578.50

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Solution

The third proportional to 210,775.50 and 443,578.50 is: 933,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,775.50 : 443,578.50 = 443,578.50 : x
  2. Step 2: Convert to fraction form
    210,775.50/443,578.50 = 443,578.50/x
  3. Step 3: Cross multiply
    210,775.50x = 443,578.50 × 443,578.50
  4. Step 4: Simplify right side
    210,775.50x = 196,761,885,662.25
  5. Step 5: Solve for x
    x = 196,761,885,662.25/210,775.50
  6. Step 6: Final answer
    x = 933,514.03

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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.