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Finding the Third Proportional to 186,984 and 405,516

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Solution

The third proportional to 186,984 and 405,516 is: 879,450.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,984 : 405,516 = 405,516 : x
  2. Step 2: Convert to fraction form
    186,984/405,516 = 405,516/x
  3. Step 3: Cross multiply
    186,984x = 405,516 × 405,516
  4. Step 4: Simplify right side
    186,984x = 164,443,226,256
  5. Step 5: Solve for x
    x = 164,443,226,256/186,984
  6. Step 6: Final answer
    x = 879,450.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.