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Finding the Third Proportional to 212,840 and 443,707

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Solution

The third proportional to 212,840 and 443,707 is: 924,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,840 : 443,707 = 443,707 : x
  2. Step 2: Convert to fraction form
    212,840/443,707 = 443,707/x
  3. Step 3: Cross multiply
    212,840x = 443,707 × 443,707
  4. Step 4: Simplify right side
    212,840x = 196,875,901,849
  5. Step 5: Solve for x
    x = 196,875,901,849/212,840
  6. Step 6: Final answer
    x = 924,994.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.