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Finding the Third Proportional to 295,408 and 446,632

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Solution

The third proportional to 295,408 and 446,632 is: 675,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,408 : 446,632 = 446,632 : x
  2. Step 2: Convert to fraction form
    295,408/446,632 = 446,632/x
  3. Step 3: Cross multiply
    295,408x = 446,632 × 446,632
  4. Step 4: Simplify right side
    295,408x = 199,480,143,424
  5. Step 5: Solve for x
    x = 199,480,143,424/295,408
  6. Step 6: Final answer
    x = 675,269.94

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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.