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Finding the Third Proportional to 321,157 and 699,510

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Solution

The third proportional to 321,157 and 699,510 is: 1,523,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,157 : 699,510 = 699,510 : x
  2. Step 2: Convert to fraction form
    321,157/699,510 = 699,510/x
  3. Step 3: Cross multiply
    321,157x = 699,510 × 699,510
  4. Step 4: Simplify right side
    321,157x = 489,314,240,100
  5. Step 5: Solve for x
    x = 489,314,240,100/321,157
  6. Step 6: Final answer
    x = 1,523,598.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.