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Finding the Third Proportional to 252,682 and 549,908

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Solution

The third proportional to 252,682 and 549,908 is: 1,196,756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,682 : 549,908 = 549,908 : x
  2. Step 2: Convert to fraction form
    252,682/549,908 = 549,908/x
  3. Step 3: Cross multiply
    252,682x = 549,908 × 549,908
  4. Step 4: Simplify right side
    252,682x = 302,398,808,464
  5. Step 5: Solve for x
    x = 302,398,808,464/252,682
  6. Step 6: Final answer
    x = 1,196,756.43

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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.