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Finding the Third Proportional to 211,249.50 and 469,732.50

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Solution

The third proportional to 211,249.50 and 469,732.50 is: 1,044,492.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,249.50 : 469,732.50 = 469,732.50 : x
  2. Step 2: Convert to fraction form
    211,249.50/469,732.50 = 469,732.50/x
  3. Step 3: Cross multiply
    211,249.50x = 469,732.50 × 469,732.50
  4. Step 4: Simplify right side
    211,249.50x = 220,648,621,556.25
  5. Step 5: Solve for x
    x = 220,648,621,556.25/211,249.50
  6. Step 6: Final answer
    x = 1,044,492.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.