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Finding the Third Proportional to 264,544 and 399,200

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Solution

The third proportional to 264,544 and 399,200 is: 602,397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,544 : 399,200 = 399,200 : x
  2. Step 2: Convert to fraction form
    264,544/399,200 = 399,200/x
  3. Step 3: Cross multiply
    264,544x = 399,200 × 399,200
  4. Step 4: Simplify right side
    264,544x = 159,360,640,000
  5. Step 5: Solve for x
    x = 159,360,640,000/264,544
  6. Step 6: Final answer
    x = 602,397.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.