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Finding the Third Proportional to 241,717 and 531,290

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Solution

The third proportional to 241,717 and 531,290 is: 1,167,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,717 : 531,290 = 531,290 : x
  2. Step 2: Convert to fraction form
    241,717/531,290 = 531,290/x
  3. Step 3: Cross multiply
    241,717x = 531,290 × 531,290
  4. Step 4: Simplify right side
    241,717x = 282,269,064,100
  5. Step 5: Solve for x
    x = 282,269,064,100/241,717
  6. Step 6: Final answer
    x = 1,167,766.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.