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Finding the Third Proportional to 325,800 and 707,276

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Solution

The third proportional to 325,800 and 707,276 is: 1,535,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,800 : 707,276 = 707,276 : x
  2. Step 2: Convert to fraction form
    325,800/707,276 = 707,276/x
  3. Step 3: Cross multiply
    325,800x = 707,276 × 707,276
  4. Step 4: Simplify right side
    325,800x = 500,239,340,176
  5. Step 5: Solve for x
    x = 500,239,340,176/325,800
  6. Step 6: Final answer
    x = 1,535,418.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.