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Finding the Third Proportional to 186,996 and 409,044

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Solution

The third proportional to 186,996 and 409,044 is: 894,762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,996 : 409,044 = 409,044 : x
  2. Step 2: Convert to fraction form
    186,996/409,044 = 409,044/x
  3. Step 3: Cross multiply
    186,996x = 409,044 × 409,044
  4. Step 4: Simplify right side
    186,996x = 167,316,993,936
  5. Step 5: Solve for x
    x = 167,316,993,936/186,996
  6. Step 6: Final answer
    x = 894,762.42

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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.