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Finding the Third Proportional to 288,989 and 461,504

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Solution

The third proportional to 288,989 and 461,504 is: 737,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,989 : 461,504 = 461,504 : x
  2. Step 2: Convert to fraction form
    288,989/461,504 = 461,504/x
  3. Step 3: Cross multiply
    288,989x = 461,504 × 461,504
  4. Step 4: Simplify right side
    288,989x = 212,985,942,016
  5. Step 5: Solve for x
    x = 212,985,942,016/288,989
  6. Step 6: Final answer
    x = 737,003.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.