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Finding the Third Proportional to 628,884 and 943,758

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Solution

The third proportional to 628,884 and 943,758 is: 1,416,285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,884 : 943,758 = 943,758 : x
  2. Step 2: Convert to fraction form
    628,884/943,758 = 943,758/x
  3. Step 3: Cross multiply
    628,884x = 943,758 × 943,758
  4. Step 4: Simplify right side
    628,884x = 890,679,162,564
  5. Step 5: Solve for x
    x = 890,679,162,564/628,884
  6. Step 6: Final answer
    x = 1,416,285.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.