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Finding the Third Proportional to 397,878.75 and 869,973.75

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Solution

The third proportional to 397,878.75 and 869,973.75 is: 1,902,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,878.75 : 869,973.75 = 869,973.75 : x
  2. Step 2: Convert to fraction form
    397,878.75/869,973.75 = 869,973.75/x
  3. Step 3: Cross multiply
    397,878.75x = 869,973.75 × 869,973.75
  4. Step 4: Simplify right side
    397,878.75x = 756,854,325,689.06
  5. Step 5: Solve for x
    x = 756,854,325,689.06/397,878.75
  6. Step 6: Final answer
    x = 1,902,223.54

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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.