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Finding the Third Proportional to 407,214 and 621,351

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Solution

The third proportional to 407,214 and 621,351 is: 948,093.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,214 : 621,351 = 621,351 : x
  2. Step 2: Convert to fraction form
    407,214/621,351 = 621,351/x
  3. Step 3: Cross multiply
    407,214x = 621,351 × 621,351
  4. Step 4: Simplify right side
    407,214x = 386,077,065,201
  5. Step 5: Solve for x
    x = 386,077,065,201/407,214
  6. Step 6: Final answer
    x = 948,093.79

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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.