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Finding the Third Proportional to 352,116 and 526,824

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Solution

The third proportional to 352,116 and 526,824 is: 788,216.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,116 : 526,824 = 526,824 : x
  2. Step 2: Convert to fraction form
    352,116/526,824 = 526,824/x
  3. Step 3: Cross multiply
    352,116x = 526,824 × 526,824
  4. Step 4: Simplify right side
    352,116x = 277,543,526,976
  5. Step 5: Solve for x
    x = 277,543,526,976/352,116
  6. Step 6: Final answer
    x = 788,216.18

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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.