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Finding the Third Proportional to 515,073.75 and 757,719.75

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Solution

The third proportional to 515,073.75 and 757,719.75 is: 1,114,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,073.75 : 757,719.75 = 757,719.75 : x
  2. Step 2: Convert to fraction form
    515,073.75/757,719.75 = 757,719.75/x
  3. Step 3: Cross multiply
    515,073.75x = 757,719.75 × 757,719.75
  4. Step 4: Simplify right side
    515,073.75x = 574,139,219,540.06
  5. Step 5: Solve for x
    x = 574,139,219,540.06/515,073.75
  6. Step 6: Final answer
    x = 1,114,673.81

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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.