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Finding the Third Proportional to 413,052 and 631,451

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Solution

The third proportional to 413,052 and 631,451 is: 965,327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,052 : 631,451 = 631,451 : x
  2. Step 2: Convert to fraction form
    413,052/631,451 = 631,451/x
  3. Step 3: Cross multiply
    413,052x = 631,451 × 631,451
  4. Step 4: Simplify right side
    413,052x = 398,730,365,401
  5. Step 5: Solve for x
    x = 398,730,365,401/413,052
  6. Step 6: Final answer
    x = 965,327.28

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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.