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Finding the Third Proportional to 252,578.25 and 536,290.88

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Solution

The third proportional to 252,578.25 and 536,290.88 is: 1,138,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,578.25 : 536,290.88 = 536,290.88 : x
  2. Step 2: Convert to fraction form
    252,578.25/536,290.88 = 536,290.88/x
  3. Step 3: Cross multiply
    252,578.25x = 536,290.88 × 536,290.88
  4. Step 4: Simplify right side
    252,578.25x = 287,607,902,608.27
  5. Step 5: Solve for x
    x = 287,607,902,608.27/252,578.25
  6. Step 6: Final answer
    x = 1,138,688.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.