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Finding the Third Proportional to 410,352 and 629,868

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Solution

The third proportional to 410,352 and 629,868 is: 966,813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,352 : 629,868 = 629,868 : x
  2. Step 2: Convert to fraction form
    410,352/629,868 = 629,868/x
  3. Step 3: Cross multiply
    410,352x = 629,868 × 629,868
  4. Step 4: Simplify right side
    410,352x = 396,733,697,424
  5. Step 5: Solve for x
    x = 396,733,697,424/410,352
  6. Step 6: Final answer
    x = 966,813.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.