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Finding the Third Proportional to 262,771 and 400,717

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Solution

The third proportional to 262,771 and 400,717 is: 611,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,771 : 400,717 = 400,717 : x
  2. Step 2: Convert to fraction form
    262,771/400,717 = 400,717/x
  3. Step 3: Cross multiply
    262,771x = 400,717 × 400,717
  4. Step 4: Simplify right side
    262,771x = 160,574,114,089
  5. Step 5: Solve for x
    x = 160,574,114,089/262,771
  6. Step 6: Final answer
    x = 611,080.04

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Why These Related Problems?

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