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Finding the Third Proportional to 348,715.97 and 538,612.03

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Solution

The third proportional to 348,715.97 and 538,612.03 is: 831,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,715.97 : 538,612.03 = 538,612.03 : x
  2. Step 2: Convert to fraction form
    348,715.97/538,612.03 = 538,612.03/x
  3. Step 3: Cross multiply
    348,715.97x = 538,612.03 × 538,612.03
  4. Step 4: Simplify right side
    348,715.97x = 290,102,920,207.25
  5. Step 5: Solve for x
    x = 290,102,920,207.25/348,715.97
  6. Step 6: Final answer
    x = 831,917.51

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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.