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Finding the Third Proportional to 265,874 and 408,663

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Solution

The third proportional to 265,874 and 408,663 is: 628,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,874 : 408,663 = 408,663 : x
  2. Step 2: Convert to fraction form
    265,874/408,663 = 408,663/x
  3. Step 3: Cross multiply
    265,874x = 408,663 × 408,663
  4. Step 4: Simplify right side
    265,874x = 167,005,447,569
  5. Step 5: Solve for x
    x = 167,005,447,569/265,874
  6. Step 6: Final answer
    x = 628,137.57

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