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Finding the Third Proportional to 176,462 and 416,504

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Solution

The third proportional to 176,462 and 416,504 is: 983,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,462 : 416,504 = 416,504 : x
  2. Step 2: Convert to fraction form
    176,462/416,504 = 416,504/x
  3. Step 3: Cross multiply
    176,462x = 416,504 × 416,504
  4. Step 4: Simplify right side
    176,462x = 173,475,582,016
  5. Step 5: Solve for x
    x = 173,475,582,016/176,462
  6. Step 6: Final answer
    x = 983,076.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.