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Finding the Third Proportional to 228,144 and 549,624

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Solution

The third proportional to 228,144 and 549,624 is: 1,324,104.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,144 : 549,624 = 549,624 : x
  2. Step 2: Convert to fraction form
    228,144/549,624 = 549,624/x
  3. Step 3: Cross multiply
    228,144x = 549,624 × 549,624
  4. Step 4: Simplify right side
    228,144x = 302,086,541,376
  5. Step 5: Solve for x
    x = 302,086,541,376/228,144
  6. Step 6: Final answer
    x = 1,324,104.69

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.