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Finding the Third Proportional to 295,083 and 446,137.88

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Solution

The third proportional to 295,083 and 446,137.88 is: 674,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,083 : 446,137.88 = 446,137.88 : x
  2. Step 2: Convert to fraction form
    295,083/446,137.88 = 446,137.88/x
  3. Step 3: Cross multiply
    295,083x = 446,137.88 × 446,137.88
  4. Step 4: Simplify right side
    295,083x = 199,039,003,509.52
  5. Step 5: Solve for x
    x = 199,039,003,509.52/295,083
  6. Step 6: Final answer
    x = 674,518.71

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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.