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Finding the Third Proportional to 186,982 and 411,360

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Solution

The third proportional to 186,982 and 411,360 is: 904,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,982 : 411,360 = 411,360 : x
  2. Step 2: Convert to fraction form
    186,982/411,360 = 411,360/x
  3. Step 3: Cross multiply
    186,982x = 411,360 × 411,360
  4. Step 4: Simplify right side
    186,982x = 169,217,049,600
  5. Step 5: Solve for x
    x = 169,217,049,600/186,982
  6. Step 6: Final answer
    x = 904,991.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.