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Finding the Third Proportional to 262,124 and 398,050

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Solution

The third proportional to 262,124 and 398,050 is: 604,461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,124 : 398,050 = 398,050 : x
  2. Step 2: Convert to fraction form
    262,124/398,050 = 398,050/x
  3. Step 3: Cross multiply
    262,124x = 398,050 × 398,050
  4. Step 4: Simplify right side
    262,124x = 158,443,802,500
  5. Step 5: Solve for x
    x = 158,443,802,500/262,124
  6. Step 6: Final answer
    x = 604,461.26

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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.