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Finding the Third Proportional to 479,922.75 and 1,050,240.38

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Solution

The third proportional to 479,922.75 and 1,050,240.38 is: 2,298,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,922.75 : 1,050,240.38 = 1,050,240.38 : x
  2. Step 2: Convert to fraction form
    479,922.75/1,050,240.38 = 1,050,240.38/x
  3. Step 3: Cross multiply
    479,922.75x = 1,050,240.38 × 1,050,240.38
  4. Step 4: Simplify right side
    479,922.75x = 1,103,004,845,280.14
  5. Step 5: Solve for x
    x = 1,103,004,845,280.14/479,922.75
  6. Step 6: Final answer
    x = 2,298,296.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.