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Finding the Third Proportional to 408,968 and 619,788

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Solution

The third proportional to 408,968 and 619,788 is: 939,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,968 : 619,788 = 619,788 : x
  2. Step 2: Convert to fraction form
    408,968/619,788 = 619,788/x
  3. Step 3: Cross multiply
    408,968x = 619,788 × 619,788
  4. Step 4: Simplify right side
    408,968x = 384,137,164,944
  5. Step 5: Solve for x
    x = 384,137,164,944/408,968
  6. Step 6: Final answer
    x = 939,284.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.