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Finding the Third Proportional to 262,775 and 400,724

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Solution

The third proportional to 262,775 and 400,724 is: 611,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,775 : 400,724 = 400,724 : x
  2. Step 2: Convert to fraction form
    262,775/400,724 = 400,724/x
  3. Step 3: Cross multiply
    262,775x = 400,724 × 400,724
  4. Step 4: Simplify right side
    262,775x = 160,579,724,176
  5. Step 5: Solve for x
    x = 160,579,724,176/262,775
  6. Step 6: Final answer
    x = 611,092.09

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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.