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Finding the Third Proportional to 646,256.50 and 905,608.75

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Solution

The third proportional to 646,256.50 and 905,608.75 is: 1,269,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,256.50 : 905,608.75 = 905,608.75 : x
  2. Step 2: Convert to fraction form
    646,256.50/905,608.75 = 905,608.75/x
  3. Step 3: Cross multiply
    646,256.50x = 905,608.75 × 905,608.75
  4. Step 4: Simplify right side
    646,256.50x = 820,127,208,076.56
  5. Step 5: Solve for x
    x = 820,127,208,076.56/646,256.50
  6. Step 6: Final answer
    x = 1,269,042.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.