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Finding the Third Proportional to 252,794.25 and 556,436.25

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Solution

The third proportional to 252,794.25 and 556,436.25 is: 1,224,795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,794.25 : 556,436.25 = 556,436.25 : x
  2. Step 2: Convert to fraction form
    252,794.25/556,436.25 = 556,436.25/x
  3. Step 3: Cross multiply
    252,794.25x = 556,436.25 × 556,436.25
  4. Step 4: Simplify right side
    252,794.25x = 309,621,300,314.06
  5. Step 5: Solve for x
    x = 309,621,300,314.06/252,794.25
  6. Step 6: Final answer
    x = 1,224,795.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.