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Finding the Third Proportional to 295,206 and 446,304

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Solution

The third proportional to 295,206 and 446,304 is: 674,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,206 : 446,304 = 446,304 : x
  2. Step 2: Convert to fraction form
    295,206/446,304 = 446,304/x
  3. Step 3: Cross multiply
    295,206x = 446,304 × 446,304
  4. Step 4: Simplify right side
    295,206x = 199,187,260,416
  5. Step 5: Solve for x
    x = 199,187,260,416/295,206
  6. Step 6: Final answer
    x = 674,739.88

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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.