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Finding the Third Proportional to 326,240 and 483,296

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Solution

The third proportional to 326,240 and 483,296 is: 715,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,240 : 483,296 = 483,296 : x
  2. Step 2: Convert to fraction form
    326,240/483,296 = 483,296/x
  3. Step 3: Cross multiply
    326,240x = 483,296 × 483,296
  4. Step 4: Simplify right side
    326,240x = 233,575,023,616
  5. Step 5: Solve for x
    x = 233,575,023,616/326,240
  6. Step 6: Final answer
    x = 715,960.71

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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.