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Finding the Third Proportional to 186,876 and 438,718

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Solution

The third proportional to 186,876 and 438,718 is: 1,029,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,876 : 438,718 = 438,718 : x
  2. Step 2: Convert to fraction form
    186,876/438,718 = 438,718/x
  3. Step 3: Cross multiply
    186,876x = 438,718 × 438,718
  4. Step 4: Simplify right side
    186,876x = 192,473,483,524
  5. Step 5: Solve for x
    x = 192,473,483,524/186,876
  6. Step 6: Final answer
    x = 1,029,952.93

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.