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Finding the Third Proportional to 264,460 and 549,224

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Solution

The third proportional to 264,460 and 549,224 is: 1,140,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,460 : 549,224 = 549,224 : x
  2. Step 2: Convert to fraction form
    264,460/549,224 = 549,224/x
  3. Step 3: Cross multiply
    264,460x = 549,224 × 549,224
  4. Step 4: Simplify right side
    264,460x = 301,647,002,176
  5. Step 5: Solve for x
    x = 301,647,002,176/264,460
  6. Step 6: Final answer
    x = 1,140,614.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.