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Finding the Third Proportional to 212,982 and 469,176

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Solution

The third proportional to 212,982 and 469,176 is: 1,033,543.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,982 : 469,176 = 469,176 : x
  2. Step 2: Convert to fraction form
    212,982/469,176 = 469,176/x
  3. Step 3: Cross multiply
    212,982x = 469,176 × 469,176
  4. Step 4: Simplify right side
    212,982x = 220,126,118,976
  5. Step 5: Solve for x
    x = 220,126,118,976/212,982
  6. Step 6: Final answer
    x = 1,033,543.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.