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Finding the Third Proportional to 389,574 and 810,324

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Solution

The third proportional to 389,574 and 810,324 is: 1,685,494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,574 : 810,324 = 810,324 : x
  2. Step 2: Convert to fraction form
    389,574/810,324 = 810,324/x
  3. Step 3: Cross multiply
    389,574x = 810,324 × 810,324
  4. Step 4: Simplify right side
    389,574x = 656,624,984,976
  5. Step 5: Solve for x
    x = 656,624,984,976/389,574
  6. Step 6: Final answer
    x = 1,685,494.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.