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Finding the Third Proportional to 733,860 and 1,033,435.50

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Solution

The third proportional to 733,860 and 1,033,435.50 is: 1,455,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,860 : 1,033,435.50 = 1,033,435.50 : x
  2. Step 2: Convert to fraction form
    733,860/1,033,435.50 = 1,033,435.50/x
  3. Step 3: Cross multiply
    733,860x = 1,033,435.50 × 1,033,435.50
  4. Step 4: Simplify right side
    733,860x = 1,067,988,932,660.25
  5. Step 5: Solve for x
    x = 1,067,988,932,660.25/733,860
  6. Step 6: Final answer
    x = 1,455,303.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.