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Finding the Third Proportional to 295,563 and 446,449

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Solution

The third proportional to 295,563 and 446,449 is: 674,362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,563 : 446,449 = 446,449 : x
  2. Step 2: Convert to fraction form
    295,563/446,449 = 446,449/x
  3. Step 3: Cross multiply
    295,563x = 446,449 × 446,449
  4. Step 4: Simplify right side
    295,563x = 199,316,709,601
  5. Step 5: Solve for x
    x = 199,316,709,601/295,563
  6. Step 6: Final answer
    x = 674,362.86

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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.