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Finding the Third Proportional to 221,523.19 and 485,939.67

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Solution

The third proportional to 221,523.19 and 485,939.67 is: 1,065,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,523.19 : 485,939.67 = 485,939.67 : x
  2. Step 2: Convert to fraction form
    221,523.19/485,939.67 = 485,939.67/x
  3. Step 3: Cross multiply
    221,523.19x = 485,939.67 × 485,939.67
  4. Step 4: Simplify right side
    221,523.19x = 236,137,364,701.98
  5. Step 5: Solve for x
    x = 236,137,364,701.98/221,523.19
  6. Step 6: Final answer
    x = 1,065,971.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.