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Finding the Third Proportional to 295,821 and 451,102.50

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Solution

The third proportional to 295,821 and 451,102.50 is: 687,893.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,821 : 451,102.50 = 451,102.50 : x
  2. Step 2: Convert to fraction form
    295,821/451,102.50 = 451,102.50/x
  3. Step 3: Cross multiply
    295,821x = 451,102.50 × 451,102.50
  4. Step 4: Simplify right side
    295,821x = 203,493,465,506.25
  5. Step 5: Solve for x
    x = 203,493,465,506.25/295,821
  6. Step 6: Final answer
    x = 687,893.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.