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Finding the Third Proportional to 252,680 and 549,904

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Solution

The third proportional to 252,680 and 549,904 is: 1,196,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,680 : 549,904 = 549,904 : x
  2. Step 2: Convert to fraction form
    252,680/549,904 = 549,904/x
  3. Step 3: Cross multiply
    252,680x = 549,904 × 549,904
  4. Step 4: Simplify right side
    252,680x = 302,394,409,216
  5. Step 5: Solve for x
    x = 302,394,409,216/252,680
  6. Step 6: Final answer
    x = 1,196,748.49

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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.