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Finding the Third Proportional to 186,804 and 399,852

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Solution

The third proportional to 186,804 and 399,852 is: 855,879.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,804 : 399,852 = 399,852 : x
  2. Step 2: Convert to fraction form
    186,804/399,852 = 399,852/x
  3. Step 3: Cross multiply
    186,804x = 399,852 × 399,852
  4. Step 4: Simplify right side
    186,804x = 159,881,621,904
  5. Step 5: Solve for x
    x = 159,881,621,904/186,804
  6. Step 6: Final answer
    x = 855,879.01

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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.