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Finding the Third Proportional to 262,989 and 576,000

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Solution

The third proportional to 262,989 and 576,000 is: 1,261,558.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,989 : 576,000 = 576,000 : x
  2. Step 2: Convert to fraction form
    262,989/576,000 = 576,000/x
  3. Step 3: Cross multiply
    262,989x = 576,000 × 576,000
  4. Step 4: Simplify right side
    262,989x = 331,776,000,000
  5. Step 5: Solve for x
    x = 331,776,000,000/262,989
  6. Step 6: Final answer
    x = 1,261,558.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.