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Finding the Third Proportional to 252,763 and 549,812

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Solution

The third proportional to 252,763 and 549,812 is: 1,195,955.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,763 : 549,812 = 549,812 : x
  2. Step 2: Convert to fraction form
    252,763/549,812 = 549,812/x
  3. Step 3: Cross multiply
    252,763x = 549,812 × 549,812
  4. Step 4: Simplify right side
    252,763x = 302,293,235,344
  5. Step 5: Solve for x
    x = 302,293,235,344/252,763
  6. Step 6: Final answer
    x = 1,195,955.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.