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Finding the Third Proportional to 353,846 and 520,329

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Solution

The third proportional to 353,846 and 520,329 is: 765,141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,846 : 520,329 = 520,329 : x
  2. Step 2: Convert to fraction form
    353,846/520,329 = 520,329/x
  3. Step 3: Cross multiply
    353,846x = 520,329 × 520,329
  4. Step 4: Simplify right side
    353,846x = 270,742,268,241
  5. Step 5: Solve for x
    x = 270,742,268,241/353,846
  6. Step 6: Final answer
    x = 765,141.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.