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Finding the Third Proportional to 174,696 and 410,658

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Solution

The third proportional to 174,696 and 410,658 is: 965,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,696 : 410,658 = 410,658 : x
  2. Step 2: Convert to fraction form
    174,696/410,658 = 410,658/x
  3. Step 3: Cross multiply
    174,696x = 410,658 × 410,658
  4. Step 4: Simplify right side
    174,696x = 168,639,992,964
  5. Step 5: Solve for x
    x = 168,639,992,964/174,696
  6. Step 6: Final answer
    x = 965,334.03

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.