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Finding the Third Proportional to 388,504 and 600,009

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Solution

The third proportional to 388,504 and 600,009 is: 926,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,504 : 600,009 = 600,009 : x
  2. Step 2: Convert to fraction form
    388,504/600,009 = 600,009/x
  3. Step 3: Cross multiply
    388,504x = 600,009 × 600,009
  4. Step 4: Simplify right side
    388,504x = 360,010,800,081
  5. Step 5: Solve for x
    x = 360,010,800,081/388,504
  6. Step 6: Final answer
    x = 926,659.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.