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Finding the Third Proportional to 606,256.50 and 905,640.75

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Solution

The third proportional to 606,256.50 and 905,640.75 is: 1,352,868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,256.50 : 905,640.75 = 905,640.75 : x
  2. Step 2: Convert to fraction form
    606,256.50/905,640.75 = 905,640.75/x
  3. Step 3: Cross multiply
    606,256.50x = 905,640.75 × 905,640.75
  4. Step 4: Simplify right side
    606,256.50x = 820,185,168,060.56
  5. Step 5: Solve for x
    x = 820,185,168,060.56/606,256.50
  6. Step 6: Final answer
    x = 1,352,868.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.