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Finding the Third Proportional to 367,329 and 556,538

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Solution

The third proportional to 367,329 and 556,538 is: 843,207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,329 : 556,538 = 556,538 : x
  2. Step 2: Convert to fraction form
    367,329/556,538 = 556,538/x
  3. Step 3: Cross multiply
    367,329x = 556,538 × 556,538
  4. Step 4: Simplify right side
    367,329x = 309,734,545,444
  5. Step 5: Solve for x
    x = 309,734,545,444/367,329
  6. Step 6: Final answer
    x = 843,207.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.