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Finding the Third Proportional to 408,492 and 599,004

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Solution

The third proportional to 408,492 and 599,004 is: 878,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,492 : 599,004 = 599,004 : x
  2. Step 2: Convert to fraction form
    408,492/599,004 = 599,004/x
  3. Step 3: Cross multiply
    408,492x = 599,004 × 599,004
  4. Step 4: Simplify right side
    408,492x = 358,805,792,016
  5. Step 5: Solve for x
    x = 358,805,792,016/408,492
  6. Step 6: Final answer
    x = 878,366.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.