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Finding the Third Proportional to 361,796 and 531,856

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Solution

The third proportional to 361,796 and 531,856 is: 781,851.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,796 : 531,856 = 531,856 : x
  2. Step 2: Convert to fraction form
    361,796/531,856 = 531,856/x
  3. Step 3: Cross multiply
    361,796x = 531,856 × 531,856
  4. Step 4: Simplify right side
    361,796x = 282,870,804,736
  5. Step 5: Solve for x
    x = 282,870,804,736/361,796
  6. Step 6: Final answer
    x = 781,851.66

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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.