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Finding the Third Proportional to 170,621 and 398,729

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Solution

The third proportional to 170,621 and 398,729 is: 931,800.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,621 : 398,729 = 398,729 : x
  2. Step 2: Convert to fraction form
    170,621/398,729 = 398,729/x
  3. Step 3: Cross multiply
    170,621x = 398,729 × 398,729
  4. Step 4: Simplify right side
    170,621x = 158,984,815,441
  5. Step 5: Solve for x
    x = 158,984,815,441/170,621
  6. Step 6: Final answer
    x = 931,800.98

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.