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Finding the Third Proportional to 446,348.81 and 992,023.88

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Solution

The third proportional to 446,348.81 and 992,023.88 is: 2,204,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,348.81 : 992,023.88 = 992,023.88 : x
  2. Step 2: Convert to fraction form
    446,348.81/992,023.88 = 992,023.88/x
  3. Step 3: Cross multiply
    446,348.81x = 992,023.88 × 992,023.88
  4. Step 4: Simplify right side
    446,348.81x = 984,111,368,570.02
  5. Step 5: Solve for x
    x = 984,111,368,570.02/446,348.81
  6. Step 6: Final answer
    x = 2,204,803.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.