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Finding the Third Proportional to 255,984 and 549,876

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Solution

The third proportional to 255,984 and 549,876 is: 1,181,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,984 : 549,876 = 549,876 : x
  2. Step 2: Convert to fraction form
    255,984/549,876 = 549,876/x
  3. Step 3: Cross multiply
    255,984x = 549,876 × 549,876
  4. Step 4: Simplify right side
    255,984x = 302,363,615,376
  5. Step 5: Solve for x
    x = 302,363,615,376/255,984
  6. Step 6: Final answer
    x = 1,181,181.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.