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Finding the Third Proportional to 674,920.69 and 949,230.56

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Solution

The third proportional to 674,920.69 and 949,230.56 is: 1,335,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,920.69 : 949,230.56 = 949,230.56 : x
  2. Step 2: Convert to fraction form
    674,920.69/949,230.56 = 949,230.56/x
  3. Step 3: Cross multiply
    674,920.69x = 949,230.56 × 949,230.56
  4. Step 4: Simplify right side
    674,920.69x = 901,038,660,784.07
  5. Step 5: Solve for x
    x = 901,038,660,784.07/674,920.69
  6. Step 6: Final answer
    x = 1,335,028.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.