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Finding the Third Proportional to 426,550.50 and 928,423.69

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Solution

The third proportional to 426,550.50 and 928,423.69 is: 2,020,793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,550.50 : 928,423.69 = 928,423.69 : x
  2. Step 2: Convert to fraction form
    426,550.50/928,423.69 = 928,423.69/x
  3. Step 3: Cross multiply
    426,550.50x = 928,423.69 × 928,423.69
  4. Step 4: Simplify right side
    426,550.50x = 861,970,543,511.10
  5. Step 5: Solve for x
    x = 861,970,543,511.10/426,550.50
  6. Step 6: Final answer
    x = 2,020,793.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.