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Finding the Third Proportional to 211,301.50 and 469,847

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Solution

The third proportional to 211,301.50 and 469,847 is: 1,044,745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,301.50 : 469,847 = 469,847 : x
  2. Step 2: Convert to fraction form
    211,301.50/469,847 = 469,847/x
  3. Step 3: Cross multiply
    211,301.50x = 469,847 × 469,847
  4. Step 4: Simplify right side
    211,301.50x = 220,756,203,409
  5. Step 5: Solve for x
    x = 220,756,203,409/211,301.50
  6. Step 6: Final answer
    x = 1,044,745.08

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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.