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Finding the Third Proportional to 209,402 and 465,244

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Solution

The third proportional to 209,402 and 465,244 is: 1,033,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,402 : 465,244 = 465,244 : x
  2. Step 2: Convert to fraction form
    209,402/465,244 = 465,244/x
  3. Step 3: Cross multiply
    209,402x = 465,244 × 465,244
  4. Step 4: Simplify right side
    209,402x = 216,451,979,536
  5. Step 5: Solve for x
    x = 216,451,979,536/209,402
  6. Step 6: Final answer
    x = 1,033,667.20

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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.