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Finding the Third Proportional to 441,074.25 and 956,828.25

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Solution

The third proportional to 441,074.25 and 956,828.25 is: 2,075,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,074.25 : 956,828.25 = 956,828.25 : x
  2. Step 2: Convert to fraction form
    441,074.25/956,828.25 = 956,828.25/x
  3. Step 3: Cross multiply
    441,074.25x = 956,828.25 × 956,828.25
  4. Step 4: Simplify right side
    441,074.25x = 915,520,299,998.06
  5. Step 5: Solve for x
    x = 915,520,299,998.06/441,074.25
  6. Step 6: Final answer
    x = 2,075,660.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.