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Finding the Third Proportional to 416,875.50 and 848,479.50

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Solution

The third proportional to 416,875.50 and 848,479.50 is: 1,726,936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,875.50 : 848,479.50 = 848,479.50 : x
  2. Step 2: Convert to fraction form
    416,875.50/848,479.50 = 848,479.50/x
  3. Step 3: Cross multiply
    416,875.50x = 848,479.50 × 848,479.50
  4. Step 4: Simplify right side
    416,875.50x = 719,917,461,920.25
  5. Step 5: Solve for x
    x = 719,917,461,920.25/416,875.50
  6. Step 6: Final answer
    x = 1,726,936.37

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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.