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Finding the Third Proportional to 519,164 and 759,036

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Solution

The third proportional to 519,164 and 759,036 is: 1,109,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,164 : 759,036 = 759,036 : x
  2. Step 2: Convert to fraction form
    519,164/759,036 = 759,036/x
  3. Step 3: Cross multiply
    519,164x = 759,036 × 759,036
  4. Step 4: Simplify right side
    519,164x = 576,135,649,296
  5. Step 5: Solve for x
    x = 576,135,649,296/519,164
  6. Step 6: Final answer
    x = 1,109,737.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.