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Finding the Third Proportional to 476,268.50 and 725,568.75

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Solution

The third proportional to 476,268.50 and 725,568.75 is: 1,105,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,268.50 : 725,568.75 = 725,568.75 : x
  2. Step 2: Convert to fraction form
    476,268.50/725,568.75 = 725,568.75/x
  3. Step 3: Cross multiply
    476,268.50x = 725,568.75 × 725,568.75
  4. Step 4: Simplify right side
    476,268.50x = 526,450,010,976.56
  5. Step 5: Solve for x
    x = 526,450,010,976.56/476,268.50
  6. Step 6: Final answer
    x = 1,105,363.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.