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Finding the Third Proportional to 508,133.25 and 743,116.78

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Solution

The third proportional to 508,133.25 and 743,116.78 is: 1,086,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,133.25 : 743,116.78 = 743,116.78 : x
  2. Step 2: Convert to fraction form
    508,133.25/743,116.78 = 743,116.78/x
  3. Step 3: Cross multiply
    508,133.25x = 743,116.78 × 743,116.78
  4. Step 4: Simplify right side
    508,133.25x = 552,222,550,575.36
  5. Step 5: Solve for x
    x = 552,222,550,575.36/508,133.25
  6. Step 6: Final answer
    x = 1,086,767.20

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.