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Finding the Third Proportional to 262,431 and 393,577

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Solution

The third proportional to 262,431 and 393,577 is: 590,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,431 : 393,577 = 393,577 : x
  2. Step 2: Convert to fraction form
    262,431/393,577 = 393,577/x
  3. Step 3: Cross multiply
    262,431x = 393,577 × 393,577
  4. Step 4: Simplify right side
    262,431x = 154,902,854,929
  5. Step 5: Solve for x
    x = 154,902,854,929/262,431
  6. Step 6: Final answer
    x = 590,261.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.