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Finding the Third Proportional to 413,012.25 and 848,259

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Solution

The third proportional to 413,012.25 and 848,259 is: 1,742,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,012.25 : 848,259 = 848,259 : x
  2. Step 2: Convert to fraction form
    413,012.25/848,259 = 848,259/x
  3. Step 3: Cross multiply
    413,012.25x = 848,259 × 848,259
  4. Step 4: Simplify right side
    413,012.25x = 719,543,331,081
  5. Step 5: Solve for x
    x = 719,543,331,081/413,012.25
  6. Step 6: Final answer
    x = 1,742,183.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.