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Finding the Third Proportional to 241,917 and 384,325.50

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Solution

The third proportional to 241,917 and 384,325.50 is: 610,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,917 : 384,325.50 = 384,325.50 : x
  2. Step 2: Convert to fraction form
    241,917/384,325.50 = 384,325.50/x
  3. Step 3: Cross multiply
    241,917x = 384,325.50 × 384,325.50
  4. Step 4: Simplify right side
    241,917x = 147,706,089,950.25
  5. Step 5: Solve for x
    x = 147,706,089,950.25/241,917
  6. Step 6: Final answer
    x = 610,565.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.