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Finding the Third Proportional to 326,727 and 520,236

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Solution

The third proportional to 326,727 and 520,236 is: 828,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,727 : 520,236 = 520,236 : x
  2. Step 2: Convert to fraction form
    326,727/520,236 = 520,236/x
  3. Step 3: Cross multiply
    326,727x = 520,236 × 520,236
  4. Step 4: Simplify right side
    326,727x = 270,645,495,696
  5. Step 5: Solve for x
    x = 270,645,495,696/326,727
  6. Step 6: Final answer
    x = 828,353.63

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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.