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Finding the Third Proportional to 433,000 and 647,740

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Solution

The third proportional to 433,000 and 647,740 is: 968,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,000 : 647,740 = 647,740 : x
  2. Step 2: Convert to fraction form
    433,000/647,740 = 647,740/x
  3. Step 3: Cross multiply
    433,000x = 647,740 × 647,740
  4. Step 4: Simplify right side
    433,000x = 419,567,107,600
  5. Step 5: Solve for x
    x = 419,567,107,600/433,000
  6. Step 6: Final answer
    x = 968,977.15

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