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Finding the Third Proportional to 264,464 and 408,360

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Solution

The third proportional to 264,464 and 408,360 is: 630,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,464 : 408,360 = 408,360 : x
  2. Step 2: Convert to fraction form
    264,464/408,360 = 408,360/x
  3. Step 3: Cross multiply
    264,464x = 408,360 × 408,360
  4. Step 4: Simplify right side
    264,464x = 166,757,889,600
  5. Step 5: Solve for x
    x = 166,757,889,600/264,464
  6. Step 6: Final answer
    x = 630,550.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.