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Finding the Third Proportional to 239,973 and 361,476

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Solution

The third proportional to 239,973 and 361,476 is: 544,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,973 : 361,476 = 361,476 : x
  2. Step 2: Convert to fraction form
    239,973/361,476 = 361,476/x
  3. Step 3: Cross multiply
    239,973x = 361,476 × 361,476
  4. Step 4: Simplify right side
    239,973x = 130,664,898,576
  5. Step 5: Solve for x
    x = 130,664,898,576/239,973
  6. Step 6: Final answer
    x = 544,498.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.