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Finding the Third Proportional to 417,515.63 and 930,651.75

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Solution

The third proportional to 417,515.63 and 930,651.75 is: 2,074,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,515.63 : 930,651.75 = 930,651.75 : x
  2. Step 2: Convert to fraction form
    417,515.63/930,651.75 = 930,651.75/x
  3. Step 3: Cross multiply
    417,515.63x = 930,651.75 × 930,651.75
  4. Step 4: Simplify right side
    417,515.63x = 866,112,679,778.06
  5. Step 5: Solve for x
    x = 866,112,679,778.06/417,515.63
  6. Step 6: Final answer
    x = 2,074,443.75

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.