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Finding the Third Proportional to 283,577 and 613,699

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Solution

The third proportional to 283,577 and 613,699 is: 1,328,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,577 : 613,699 = 613,699 : x
  2. Step 2: Convert to fraction form
    283,577/613,699 = 613,699/x
  3. Step 3: Cross multiply
    283,577x = 613,699 × 613,699
  4. Step 4: Simplify right side
    283,577x = 376,626,462,601
  5. Step 5: Solve for x
    x = 376,626,462,601/283,577
  6. Step 6: Final answer
    x = 1,328,127.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.