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Finding the Third Proportional to 413,137.97 and 637,032.09

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Solution

The third proportional to 413,137.97 and 637,032.09 is: 982,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,137.97 : 637,032.09 = 637,032.09 : x
  2. Step 2: Convert to fraction form
    413,137.97/637,032.09 = 637,032.09/x
  3. Step 3: Cross multiply
    413,137.97x = 637,032.09 × 637,032.09
  4. Step 4: Simplify right side
    413,137.97x = 405,809,888,467.51
  5. Step 5: Solve for x
    x = 405,809,888,467.51/413,137.97
  6. Step 6: Final answer
    x = 982,262.39

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.