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Finding the Third Proportional to 186,985 and 407,814

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Solution

The third proportional to 186,985 and 407,814 is: 889,441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,985 : 407,814 = 407,814 : x
  2. Step 2: Convert to fraction form
    186,985/407,814 = 407,814/x
  3. Step 3: Cross multiply
    186,985x = 407,814 × 407,814
  4. Step 4: Simplify right side
    186,985x = 166,312,258,596
  5. Step 5: Solve for x
    x = 166,312,258,596/186,985
  6. Step 6: Final answer
    x = 889,441.71

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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.