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Finding the Third Proportional to 360,329 and 834,065

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Solution

The third proportional to 360,329 and 834,065 is: 1,930,636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,329 : 834,065 = 834,065 : x
  2. Step 2: Convert to fraction form
    360,329/834,065 = 834,065/x
  3. Step 3: Cross multiply
    360,329x = 834,065 × 834,065
  4. Step 4: Simplify right side
    360,329x = 695,664,424,225
  5. Step 5: Solve for x
    x = 695,664,424,225/360,329
  6. Step 6: Final answer
    x = 1,930,636.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.