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Finding the Third Proportional to 295,330 and 446,519

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Solution

The third proportional to 295,330 and 446,519 is: 675,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,330 : 446,519 = 446,519 : x
  2. Step 2: Convert to fraction form
    295,330/446,519 = 446,519/x
  3. Step 3: Cross multiply
    295,330x = 446,519 × 446,519
  4. Step 4: Simplify right side
    295,330x = 199,379,217,361
  5. Step 5: Solve for x
    x = 199,379,217,361/295,330
  6. Step 6: Final answer
    x = 675,106.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.