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Finding the Third Proportional to 551,341.69 and 827,237.81

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Solution

The third proportional to 551,341.69 and 827,237.81 is: 1,241,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,341.69 : 827,237.81 = 827,237.81 : x
  2. Step 2: Convert to fraction form
    551,341.69/827,237.81 = 827,237.81/x
  3. Step 3: Cross multiply
    551,341.69x = 827,237.81 × 827,237.81
  4. Step 4: Simplify right side
    551,341.69x = 684,322,398,429.79
  5. Step 5: Solve for x
    x = 684,322,398,429.79/551,341.69
  6. Step 6: Final answer
    x = 1,241,194.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.