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Finding the Third Proportional to 290,176 and 606,592

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Solution

The third proportional to 290,176 and 606,592 is: 1,268,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,176 : 606,592 = 606,592 : x
  2. Step 2: Convert to fraction form
    290,176/606,592 = 606,592/x
  3. Step 3: Cross multiply
    290,176x = 606,592 × 606,592
  4. Step 4: Simplify right side
    290,176x = 367,953,854,464
  5. Step 5: Solve for x
    x = 367,953,854,464/290,176
  6. Step 6: Final answer
    x = 1,268,036.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.