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Finding the Third Proportional to 416,853 and 848,437.50

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Solution

The third proportional to 416,853 and 848,437.50 is: 1,726,858.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,853 : 848,437.50 = 848,437.50 : x
  2. Step 2: Convert to fraction form
    416,853/848,437.50 = 848,437.50/x
  3. Step 3: Cross multiply
    416,853x = 848,437.50 × 848,437.50
  4. Step 4: Simplify right side
    416,853x = 719,846,191,406.25
  5. Step 5: Solve for x
    x = 719,846,191,406.25/416,853
  6. Step 6: Final answer
    x = 1,726,858.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.