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Finding the Third Proportional to 186,783 and 399,810

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Solution

The third proportional to 186,783 and 399,810 is: 855,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,783 : 399,810 = 399,810 : x
  2. Step 2: Convert to fraction form
    186,783/399,810 = 399,810/x
  3. Step 3: Cross multiply
    186,783x = 399,810 × 399,810
  4. Step 4: Simplify right side
    186,783x = 159,848,036,100
  5. Step 5: Solve for x
    x = 159,848,036,100/186,783
  6. Step 6: Final answer
    x = 855,795.42

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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.