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Finding the Third Proportional to 326,736 and 520,248

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Solution

The third proportional to 326,736 and 520,248 is: 828,369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,736 : 520,248 = 520,248 : x
  2. Step 2: Convert to fraction form
    326,736/520,248 = 520,248/x
  3. Step 3: Cross multiply
    326,736x = 520,248 × 520,248
  4. Step 4: Simplify right side
    326,736x = 270,657,981,504
  5. Step 5: Solve for x
    x = 270,657,981,504/326,736
  6. Step 6: Final answer
    x = 828,369.02

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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.