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Finding the Third Proportional to 209,405 and 465,250

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Solution

The third proportional to 209,405 and 465,250 is: 1,033,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,405 : 465,250 = 465,250 : x
  2. Step 2: Convert to fraction form
    209,405/465,250 = 465,250/x
  3. Step 3: Cross multiply
    209,405x = 465,250 × 465,250
  4. Step 4: Simplify right side
    209,405x = 216,457,562,500
  5. Step 5: Solve for x
    x = 216,457,562,500/209,405
  6. Step 6: Final answer
    x = 1,033,679.05

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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.