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Finding the Third Proportional to 179,964 and 416,628

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Solution

The third proportional to 179,964 and 416,628 is: 964,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,964 : 416,628 = 416,628 : x
  2. Step 2: Convert to fraction form
    179,964/416,628 = 416,628/x
  3. Step 3: Cross multiply
    179,964x = 416,628 × 416,628
  4. Step 4: Simplify right side
    179,964x = 173,578,890,384
  5. Step 5: Solve for x
    x = 173,578,890,384/179,964
  6. Step 6: Final answer
    x = 964,520.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.