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Finding the Third Proportional to 186,715 and 409,711

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Solution

The third proportional to 186,715 and 409,711 is: 899,033.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,715 : 409,711 = 409,711 : x
  2. Step 2: Convert to fraction form
    186,715/409,711 = 409,711/x
  3. Step 3: Cross multiply
    186,715x = 409,711 × 409,711
  4. Step 4: Simplify right side
    186,715x = 167,863,103,521
  5. Step 5: Solve for x
    x = 167,863,103,521/186,715
  6. Step 6: Final answer
    x = 899,033.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.