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Finding the Third Proportional to 207,202 and 446,284

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Solution

The third proportional to 207,202 and 446,284 is: 961,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,202 : 446,284 = 446,284 : x
  2. Step 2: Convert to fraction form
    207,202/446,284 = 446,284/x
  3. Step 3: Cross multiply
    207,202x = 446,284 × 446,284
  4. Step 4: Simplify right side
    207,202x = 199,169,408,656
  5. Step 5: Solve for x
    x = 199,169,408,656/207,202
  6. Step 6: Final answer
    x = 961,233.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.