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Finding the Third Proportional to 426,647.50 and 914,017.25

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Solution

The third proportional to 426,647.50 and 914,017.25 is: 1,958,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,647.50 : 914,017.25 = 914,017.25 : x
  2. Step 2: Convert to fraction form
    426,647.50/914,017.25 = 914,017.25/x
  3. Step 3: Cross multiply
    426,647.50x = 914,017.25 × 914,017.25
  4. Step 4: Simplify right side
    426,647.50x = 835,427,533,297.56
  5. Step 5: Solve for x
    x = 835,427,533,297.56/426,647.50
  6. Step 6: Final answer
    x = 1,958,121.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.