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Finding the Third Proportional to 207,356 and 446,590

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Solution

The third proportional to 207,356 and 446,590 is: 961,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,356 : 446,590 = 446,590 : x
  2. Step 2: Convert to fraction form
    207,356/446,590 = 446,590/x
  3. Step 3: Cross multiply
    207,356x = 446,590 × 446,590
  4. Step 4: Simplify right side
    207,356x = 199,442,628,100
  5. Step 5: Solve for x
    x = 199,442,628,100/207,356
  6. Step 6: Final answer
    x = 961,836.78

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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.