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Finding the Third Proportional to 326,600 and 699,856

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Solution

The third proportional to 326,600 and 699,856 is: 1,499,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,600 : 699,856 = 699,856 : x
  2. Step 2: Convert to fraction form
    326,600/699,856 = 699,856/x
  3. Step 3: Cross multiply
    326,600x = 699,856 × 699,856
  4. Step 4: Simplify right side
    326,600x = 489,798,420,736
  5. Step 5: Solve for x
    x = 489,798,420,736/326,600
  6. Step 6: Final answer
    x = 1,499,688.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.