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Finding the Third Proportional to 361,794 and 531,852

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Solution

The third proportional to 361,794 and 531,852 is: 781,844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,794 : 531,852 = 531,852 : x
  2. Step 2: Convert to fraction form
    361,794/531,852 = 531,852/x
  3. Step 3: Cross multiply
    361,794x = 531,852 × 531,852
  4. Step 4: Simplify right side
    361,794x = 282,866,549,904
  5. Step 5: Solve for x
    x = 282,866,549,904/361,794
  6. Step 6: Final answer
    x = 781,844.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.