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Finding the Third Proportional to 417,042 and 910,537.50

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Solution

The third proportional to 417,042 and 910,537.50 is: 1,987,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,042 : 910,537.50 = 910,537.50 : x
  2. Step 2: Convert to fraction form
    417,042/910,537.50 = 910,537.50/x
  3. Step 3: Cross multiply
    417,042x = 910,537.50 × 910,537.50
  4. Step 4: Simplify right side
    417,042x = 829,078,538,906.25
  5. Step 5: Solve for x
    x = 829,078,538,906.25/417,042
  6. Step 6: Final answer
    x = 1,987,997.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.