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Finding the Third Proportional to 241,911 and 384,317.50

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Solution

The third proportional to 241,911 and 384,317.50 is: 610,554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,911 : 384,317.50 = 384,317.50 : x
  2. Step 2: Convert to fraction form
    241,911/384,317.50 = 384,317.50/x
  3. Step 3: Cross multiply
    241,911x = 384,317.50 × 384,317.50
  4. Step 4: Simplify right side
    241,911x = 147,699,940,806.25
  5. Step 5: Solve for x
    x = 147,699,940,806.25/241,911
  6. Step 6: Final answer
    x = 610,554.88

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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.