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Finding the Third Proportional to 275,128.88 and 410,154.75

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Solution

The third proportional to 275,128.88 and 410,154.75 is: 611,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,128.88 : 410,154.75 = 410,154.75 : x
  2. Step 2: Convert to fraction form
    275,128.88/410,154.75 = 410,154.75/x
  3. Step 3: Cross multiply
    275,128.88x = 410,154.75 × 410,154.75
  4. Step 4: Simplify right side
    275,128.88x = 168,226,918,947.56
  5. Step 5: Solve for x
    x = 168,226,918,947.56/275,128.88
  6. Step 6: Final answer
    x = 611,447.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.