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Finding the Third Proportional to 264,576 and 391,752

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Solution

The third proportional to 264,576 and 391,752 is: 580,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,576 : 391,752 = 391,752 : x
  2. Step 2: Convert to fraction form
    264,576/391,752 = 391,752/x
  3. Step 3: Cross multiply
    264,576x = 391,752 × 391,752
  4. Step 4: Simplify right side
    264,576x = 153,469,629,504
  5. Step 5: Solve for x
    x = 153,469,629,504/264,576
  6. Step 6: Final answer
    x = 580,058.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.