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Finding the Third Proportional to 408,539 and 599,673

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Solution

The third proportional to 408,539 and 599,673 is: 880,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,539 : 599,673 = 599,673 : x
  2. Step 2: Convert to fraction form
    408,539/599,673 = 599,673/x
  3. Step 3: Cross multiply
    408,539x = 599,673 × 599,673
  4. Step 4: Simplify right side
    408,539x = 359,607,706,929
  5. Step 5: Solve for x
    x = 359,607,706,929/408,539
  6. Step 6: Final answer
    x = 880,228.59

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