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Finding the Third Proportional to 407,877 and 620,451

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Solution

The third proportional to 407,877 and 620,451 is: 943,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,877 : 620,451 = 620,451 : x
  2. Step 2: Convert to fraction form
    407,877/620,451 = 620,451/x
  3. Step 3: Cross multiply
    407,877x = 620,451 × 620,451
  4. Step 4: Simplify right side
    407,877x = 384,959,443,401
  5. Step 5: Solve for x
    x = 384,959,443,401/407,877
  6. Step 6: Final answer
    x = 943,812.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.