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Finding the Third Proportional to 295,568 and 446,457

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Solution

The third proportional to 295,568 and 446,457 is: 674,375.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,568 : 446,457 = 446,457 : x
  2. Step 2: Convert to fraction form
    295,568/446,457 = 446,457/x
  3. Step 3: Cross multiply
    295,568x = 446,457 × 446,457
  4. Step 4: Simplify right side
    295,568x = 199,323,852,849
  5. Step 5: Solve for x
    x = 199,323,852,849/295,568
  6. Step 6: Final answer
    x = 674,375.62

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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.