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Finding the Third Proportional to 271,004 and 402,576

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Solution

The third proportional to 271,004 and 402,576 is: 598,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,004 : 402,576 = 402,576 : x
  2. Step 2: Convert to fraction form
    271,004/402,576 = 402,576/x
  3. Step 3: Cross multiply
    271,004x = 402,576 × 402,576
  4. Step 4: Simplify right side
    271,004x = 162,067,435,776
  5. Step 5: Solve for x
    x = 162,067,435,776/271,004
  6. Step 6: Final answer
    x = 598,025.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.