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Finding the Third Proportional to 264,740 and 399,550

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Solution

The third proportional to 264,740 and 399,550 is: 603,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,740 : 399,550 = 399,550 : x
  2. Step 2: Convert to fraction form
    264,740/399,550 = 399,550/x
  3. Step 3: Cross multiply
    264,740x = 399,550 × 399,550
  4. Step 4: Simplify right side
    264,740x = 159,640,202,500
  5. Step 5: Solve for x
    x = 159,640,202,500/264,740
  6. Step 6: Final answer
    x = 603,007.49

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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.