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Finding the Third Proportional to 449,907.75 and 976,083.75

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Solution

The third proportional to 449,907.75 and 976,083.75 is: 2,117,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,907.75 : 976,083.75 = 976,083.75 : x
  2. Step 2: Convert to fraction form
    449,907.75/976,083.75 = 976,083.75/x
  3. Step 3: Cross multiply
    449,907.75x = 976,083.75 × 976,083.75
  4. Step 4: Simplify right side
    449,907.75x = 952,739,487,014.06
  5. Step 5: Solve for x
    x = 952,739,487,014.06/449,907.75
  6. Step 6: Final answer
    x = 2,117,632.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.