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Finding the Third Proportional to 326,732 and 520,242

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Solution

The third proportional to 326,732 and 520,242 is: 828,360.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,732 : 520,242 = 520,242 : x
  2. Step 2: Convert to fraction form
    326,732/520,242 = 520,242/x
  3. Step 3: Cross multiply
    326,732x = 520,242 × 520,242
  4. Step 4: Simplify right side
    326,732x = 270,651,738,564
  5. Step 5: Solve for x
    x = 270,651,738,564/326,732
  6. Step 6: Final answer
    x = 828,360.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.