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Finding the Third Proportional to 409,500 and 885,576

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Solution

The third proportional to 409,500 and 885,576 is: 1,915,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,500 : 885,576 = 885,576 : x
  2. Step 2: Convert to fraction form
    409,500/885,576 = 885,576/x
  3. Step 3: Cross multiply
    409,500x = 885,576 × 885,576
  4. Step 4: Simplify right side
    409,500x = 784,244,851,776
  5. Step 5: Solve for x
    x = 784,244,851,776/409,500
  6. Step 6: Final answer
    x = 1,915,127.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.