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Finding the Third Proportional to 252,676 and 549,896

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Solution

The third proportional to 252,676 and 549,896 is: 1,196,732.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,676 : 549,896 = 549,896 : x
  2. Step 2: Convert to fraction form
    252,676/549,896 = 549,896/x
  3. Step 3: Cross multiply
    252,676x = 549,896 × 549,896
  4. Step 4: Simplify right side
    252,676x = 302,385,610,816
  5. Step 5: Solve for x
    x = 302,385,610,816/252,676
  6. Step 6: Final answer
    x = 1,196,732.62

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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.