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Finding the Third Proportional to 508,996 and 763,182

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Solution

The third proportional to 508,996 and 763,182 is: 1,144,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,996 : 763,182 = 763,182 : x
  2. Step 2: Convert to fraction form
    508,996/763,182 = 763,182/x
  3. Step 3: Cross multiply
    508,996x = 763,182 × 763,182
  4. Step 4: Simplify right side
    508,996x = 582,446,765,124
  5. Step 5: Solve for x
    x = 582,446,765,124/508,996
  6. Step 6: Final answer
    x = 1,144,305.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.