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Finding the Third Proportional to 519,072.75 and 730,635.75

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Solution

The third proportional to 519,072.75 and 730,635.75 is: 1,028,427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,072.75 : 730,635.75 = 730,635.75 : x
  2. Step 2: Convert to fraction form
    519,072.75/730,635.75 = 730,635.75/x
  3. Step 3: Cross multiply
    519,072.75x = 730,635.75 × 730,635.75
  4. Step 4: Simplify right side
    519,072.75x = 533,828,599,178.06
  5. Step 5: Solve for x
    x = 533,828,599,178.06/519,072.75
  6. Step 6: Final answer
    x = 1,028,427.32

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.