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Finding the Third Proportional to 345,214 and 529,851

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Solution

The third proportional to 345,214 and 529,851 is: 813,240.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,214 : 529,851 = 529,851 : x
  2. Step 2: Convert to fraction form
    345,214/529,851 = 529,851/x
  3. Step 3: Cross multiply
    345,214x = 529,851 × 529,851
  4. Step 4: Simplify right side
    345,214x = 280,742,082,201
  5. Step 5: Solve for x
    x = 280,742,082,201/345,214
  6. Step 6: Final answer
    x = 813,240.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.