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Finding the Third Proportional to 186,004 and 413,336

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Solution

The third proportional to 186,004 and 413,336 is: 918,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,004 : 413,336 = 413,336 : x
  2. Step 2: Convert to fraction form
    186,004/413,336 = 413,336/x
  3. Step 3: Cross multiply
    186,004x = 413,336 × 413,336
  4. Step 4: Simplify right side
    186,004x = 170,846,648,896
  5. Step 5: Solve for x
    x = 170,846,648,896/186,004
  6. Step 6: Final answer
    x = 918,510.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.