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Finding the Third Proportional to 217,953 and 469,302.75

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Solution

The third proportional to 217,953 and 469,302.75 is: 1,010,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,953 : 469,302.75 = 469,302.75 : x
  2. Step 2: Convert to fraction form
    217,953/469,302.75 = 469,302.75/x
  3. Step 3: Cross multiply
    217,953x = 469,302.75 × 469,302.75
  4. Step 4: Simplify right side
    217,953x = 220,245,071,157.56
  5. Step 5: Solve for x
    x = 220,245,071,157.56/217,953
  6. Step 6: Final answer
    x = 1,010,516.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.