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Finding the Third Proportional to 186,576 and 399,768

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Solution

The third proportional to 186,576 and 399,768 is: 856,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,576 : 399,768 = 399,768 : x
  2. Step 2: Convert to fraction form
    186,576/399,768 = 399,768/x
  3. Step 3: Cross multiply
    186,576x = 399,768 × 399,768
  4. Step 4: Simplify right side
    186,576x = 159,814,453,824
  5. Step 5: Solve for x
    x = 159,814,453,824/186,576
  6. Step 6: Final answer
    x = 856,564.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.