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Finding the Third Proportional to 326,226 and 718,677

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Solution

The third proportional to 326,226 and 718,677 is: 1,583,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,226 : 718,677 = 718,677 : x
  2. Step 2: Convert to fraction form
    326,226/718,677 = 718,677/x
  3. Step 3: Cross multiply
    326,226x = 718,677 × 718,677
  4. Step 4: Simplify right side
    326,226x = 516,496,630,329
  5. Step 5: Solve for x
    x = 516,496,630,329/326,226
  6. Step 6: Final answer
    x = 1,583,247.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.