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Finding the Third Proportional to 252,804 and 556,449

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Solution

The third proportional to 252,804 and 556,449 is: 1,224,804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,804 : 556,449 = 556,449 : x
  2. Step 2: Convert to fraction form
    252,804/556,449 = 556,449/x
  3. Step 3: Cross multiply
    252,804x = 556,449 × 556,449
  4. Step 4: Simplify right side
    252,804x = 309,635,489,601
  5. Step 5: Solve for x
    x = 309,635,489,601/252,804
  6. Step 6: Final answer
    x = 1,224,804.55

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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.