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Finding the Third Proportional to 340,836.75 and 504,664.88

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Solution

The third proportional to 340,836.75 and 504,664.88 is: 747,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,836.75 : 504,664.88 = 504,664.88 : x
  2. Step 2: Convert to fraction form
    340,836.75/504,664.88 = 504,664.88/x
  3. Step 3: Cross multiply
    340,836.75x = 504,664.88 × 504,664.88
  4. Step 4: Simplify right side
    340,836.75x = 254,686,636,058.77
  5. Step 5: Solve for x
    x = 254,686,636,058.77/340,836.75
  6. Step 6: Final answer
    x = 747,239.36

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.