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Finding the Third Proportional to 310,787.72 and 438,675.09

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Solution

The third proportional to 310,787.72 and 438,675.09 is: 619,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,787.72 : 438,675.09 = 438,675.09 : x
  2. Step 2: Convert to fraction form
    310,787.72/438,675.09 = 438,675.09/x
  3. Step 3: Cross multiply
    310,787.72x = 438,675.09 × 438,675.09
  4. Step 4: Simplify right side
    310,787.72x = 192,435,837,876.57
  5. Step 5: Solve for x
    x = 192,435,837,876.57/310,787.72
  6. Step 6: Final answer
    x = 619,187.39

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.