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Finding the Third Proportional to 413,046.84 and 638,328.09

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Solution

The third proportional to 413,046.84 and 638,328.09 is: 986,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,046.84 : 638,328.09 = 638,328.09 : x
  2. Step 2: Convert to fraction form
    413,046.84/638,328.09 = 638,328.09/x
  3. Step 3: Cross multiply
    413,046.84x = 638,328.09 × 638,328.09
  4. Step 4: Simplify right side
    413,046.84x = 407,462,755,270.51
  5. Step 5: Solve for x
    x = 407,462,755,270.51/413,046.84
  6. Step 6: Final answer
    x = 986,480.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.