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Finding the Third Proportional to 378,713 and 569,051

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Solution

The third proportional to 378,713 and 569,051 is: 855,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,713 : 569,051 = 569,051 : x
  2. Step 2: Convert to fraction form
    378,713/569,051 = 569,051/x
  3. Step 3: Cross multiply
    378,713x = 569,051 × 569,051
  4. Step 4: Simplify right side
    378,713x = 323,819,040,601
  5. Step 5: Solve for x
    x = 323,819,040,601/378,713
  6. Step 6: Final answer
    x = 855,051.29

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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.