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Finding the Third Proportional to 252,689 and 549,922

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Solution

The third proportional to 252,689 and 549,922 is: 1,196,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,689 : 549,922 = 549,922 : x
  2. Step 2: Convert to fraction form
    252,689/549,922 = 549,922/x
  3. Step 3: Cross multiply
    252,689x = 549,922 × 549,922
  4. Step 4: Simplify right side
    252,689x = 302,414,206,084
  5. Step 5: Solve for x
    x = 302,414,206,084/252,689
  6. Step 6: Final answer
    x = 1,196,784.21

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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.