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Finding the Third Proportional to 383,265 and 840,888

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Solution

The third proportional to 383,265 and 840,888 is: 1,844,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,265 : 840,888 = 840,888 : x
  2. Step 2: Convert to fraction form
    383,265/840,888 = 840,888/x
  3. Step 3: Cross multiply
    383,265x = 840,888 × 840,888
  4. Step 4: Simplify right side
    383,265x = 707,092,628,544
  5. Step 5: Solve for x
    x = 707,092,628,544/383,265
  6. Step 6: Final answer
    x = 1,844,918.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.