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Finding the Third Proportional to 241,858 and 363,715

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Solution

The third proportional to 241,858 and 363,715 is: 546,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,858 : 363,715 = 363,715 : x
  2. Step 2: Convert to fraction form
    241,858/363,715 = 363,715/x
  3. Step 3: Cross multiply
    241,858x = 363,715 × 363,715
  4. Step 4: Simplify right side
    241,858x = 132,288,601,225
  5. Step 5: Solve for x
    x = 132,288,601,225/241,858
  6. Step 6: Final answer
    x = 546,968.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.