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Finding the Third Proportional to 739,592.25 and 1,109,385

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Solution

The third proportional to 739,592.25 and 1,109,385 is: 1,664,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,592.25 : 1,109,385 = 1,109,385 : x
  2. Step 2: Convert to fraction form
    739,592.25/1,109,385 = 1,109,385/x
  3. Step 3: Cross multiply
    739,592.25x = 1,109,385 × 1,109,385
  4. Step 4: Simplify right side
    739,592.25x = 1,230,735,078,225
  5. Step 5: Solve for x
    x = 1,230,735,078,225/739,592.25
  6. Step 6: Final answer
    x = 1,664,072.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.