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Finding the Third Proportional to 515,164.13 and 757,320.75

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Solution

The third proportional to 515,164.13 and 757,320.75 is: 1,113,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,164.13 : 757,320.75 = 757,320.75 : x
  2. Step 2: Convert to fraction form
    515,164.13/757,320.75 = 757,320.75/x
  3. Step 3: Cross multiply
    515,164.13x = 757,320.75 × 757,320.75
  4. Step 4: Simplify right side
    515,164.13x = 573,534,718,380.56
  5. Step 5: Solve for x
    x = 573,534,718,380.56/515,164.13
  6. Step 6: Final answer
    x = 1,113,304.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.