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Finding the Third Proportional to 265,224,172.25 and 557,933,578.25

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Solution

The third proportional to 265,224,172.25 and 557,933,578.25 is: 1,173,685,924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,224,172.25 : 557,933,578.25 = 557,933,578.25 : x
  2. Step 2: Convert to fraction form
    265,224,172.25/557,933,578.25 = 557,933,578.25/x
  3. Step 3: Cross multiply
    265,224,172.25x = 557,933,578.25 × 557,933,578.25
  4. Step 4: Simplify right side
    265,224,172.25x = 311,289,877,738,848,896
  5. Step 5: Solve for x
    x = 311,289,877,738,848,896/265,224,172.25
  6. Step 6: Final answer
    x = 1,173,685,924.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.