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Finding the Third Proportional to 186,939 and 407,712

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Solution

The third proportional to 186,939 and 407,712 is: 889,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,939 : 407,712 = 407,712 : x
  2. Step 2: Convert to fraction form
    186,939/407,712 = 407,712/x
  3. Step 3: Cross multiply
    186,939x = 407,712 × 407,712
  4. Step 4: Simplify right side
    186,939x = 166,229,074,944
  5. Step 5: Solve for x
    x = 166,229,074,944/186,939
  6. Step 6: Final answer
    x = 889,215.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.