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Finding the Third Proportional to 252,794 and 536,692

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Solution

The third proportional to 252,794 and 536,692 is: 1,139,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,794 : 536,692 = 536,692 : x
  2. Step 2: Convert to fraction form
    252,794/536,692 = 536,692/x
  3. Step 3: Cross multiply
    252,794x = 536,692 × 536,692
  4. Step 4: Simplify right side
    252,794x = 288,038,302,864
  5. Step 5: Solve for x
    x = 288,038,302,864/252,794
  6. Step 6: Final answer
    x = 1,139,419.06

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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.