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Finding the Third Proportional to 444,069 and 677,160

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Solution

The third proportional to 444,069 and 677,160 is: 1,032,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,069 : 677,160 = 677,160 : x
  2. Step 2: Convert to fraction form
    444,069/677,160 = 677,160/x
  3. Step 3: Cross multiply
    444,069x = 677,160 × 677,160
  4. Step 4: Simplify right side
    444,069x = 458,545,665,600
  5. Step 5: Solve for x
    x = 458,545,665,600/444,069
  6. Step 6: Final answer
    x = 1,032,600.04

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.