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Finding the Third Proportional to 467,933 and 957,999.50

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Solution

The third proportional to 467,933 and 957,999.50 is: 1,961,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,933 : 957,999.50 = 957,999.50 : x
  2. Step 2: Convert to fraction form
    467,933/957,999.50 = 957,999.50/x
  3. Step 3: Cross multiply
    467,933x = 957,999.50 × 957,999.50
  4. Step 4: Simplify right side
    467,933x = 917,763,042,000.25
  5. Step 5: Solve for x
    x = 917,763,042,000.25/467,933
  6. Step 6: Final answer
    x = 1,961,312.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.