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Finding the Third Proportional to 305,176.20 and 662,891.66

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Solution

The third proportional to 305,176.20 and 662,891.66 is: 1,439,907.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,176.20 : 662,891.66 = 662,891.66 : x
  2. Step 2: Convert to fraction form
    305,176.20/662,891.66 = 662,891.66/x
  3. Step 3: Cross multiply
    305,176.20x = 662,891.66 × 662,891.66
  4. Step 4: Simplify right side
    305,176.20x = 439,425,353,104.71
  5. Step 5: Solve for x
    x = 439,425,353,104.71/305,176.20
  6. Step 6: Final answer
    x = 1,439,907.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.