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Finding the Third Proportional to 321,985.50 and 699,324

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Solution

The third proportional to 321,985.50 and 699,324 is: 1,518,869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,985.50 : 699,324 = 699,324 : x
  2. Step 2: Convert to fraction form
    321,985.50/699,324 = 699,324/x
  3. Step 3: Cross multiply
    321,985.50x = 699,324 × 699,324
  4. Step 4: Simplify right side
    321,985.50x = 489,054,056,976
  5. Step 5: Solve for x
    x = 489,054,056,976/321,985.50
  6. Step 6: Final answer
    x = 1,518,869.82

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