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Finding the Third Proportional to 264,756 and 399,570

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Solution

The third proportional to 264,756 and 399,570 is: 603,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,756 : 399,570 = 399,570 : x
  2. Step 2: Convert to fraction form
    264,756/399,570 = 399,570/x
  3. Step 3: Cross multiply
    264,756x = 399,570 × 399,570
  4. Step 4: Simplify right side
    264,756x = 159,656,184,900
  5. Step 5: Solve for x
    x = 159,656,184,900/264,756
  6. Step 6: Final answer
    x = 603,031.41

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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.