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Finding the Third Proportional to 606,240 and 905,616

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Solution

The third proportional to 606,240 and 905,616 is: 1,352,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,240 : 905,616 = 905,616 : x
  2. Step 2: Convert to fraction form
    606,240/905,616 = 905,616/x
  3. Step 3: Cross multiply
    606,240x = 905,616 × 905,616
  4. Step 4: Simplify right side
    606,240x = 820,140,339,456
  5. Step 5: Solve for x
    x = 820,140,339,456/606,240
  6. Step 6: Final answer
    x = 1,352,831.12

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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.