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Finding the Third Proportional to 321,988.50 and 699,300

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Solution

The third proportional to 321,988.50 and 699,300 is: 1,518,751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,988.50 : 699,300 = 699,300 : x
  2. Step 2: Convert to fraction form
    321,988.50/699,300 = 699,300/x
  3. Step 3: Cross multiply
    321,988.50x = 699,300 × 699,300
  4. Step 4: Simplify right side
    321,988.50x = 489,020,490,000
  5. Step 5: Solve for x
    x = 489,020,490,000/321,988.50
  6. Step 6: Final answer
    x = 1,518,751.42

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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.