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Finding the Third Proportional to 300,716 and 423,100

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Solution

The third proportional to 300,716 and 423,100 is: 595,291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,716 : 423,100 = 423,100 : x
  2. Step 2: Convert to fraction form
    300,716/423,100 = 423,100/x
  3. Step 3: Cross multiply
    300,716x = 423,100 × 423,100
  4. Step 4: Simplify right side
    300,716x = 179,013,610,000
  5. Step 5: Solve for x
    x = 179,013,610,000/300,716
  6. Step 6: Final answer
    x = 595,291.27

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.