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Finding the Third Proportional to 295,751.25 and 443,121.75

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Solution

The third proportional to 295,751.25 and 443,121.75 is: 663,925.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,751.25 : 443,121.75 = 443,121.75 : x
  2. Step 2: Convert to fraction form
    295,751.25/443,121.75 = 443,121.75/x
  3. Step 3: Cross multiply
    295,751.25x = 443,121.75 × 443,121.75
  4. Step 4: Simplify right side
    295,751.25x = 196,356,885,323.06
  5. Step 5: Solve for x
    x = 196,356,885,323.06/295,751.25
  6. Step 6: Final answer
    x = 663,925.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.