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Finding the Third Proportional to 252,684 and 549,912

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Solution

The third proportional to 252,684 and 549,912 is: 1,196,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,684 : 549,912 = 549,912 : x
  2. Step 2: Convert to fraction form
    252,684/549,912 = 549,912/x
  3. Step 3: Cross multiply
    252,684x = 549,912 × 549,912
  4. Step 4: Simplify right side
    252,684x = 302,403,207,744
  5. Step 5: Solve for x
    x = 302,403,207,744/252,684
  6. Step 6: Final answer
    x = 1,196,764.37

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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.