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Finding the Third Proportional to 379,839.38 and 579,406.50

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Solution

The third proportional to 379,839.38 and 579,406.50 is: 883,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,839.38 : 579,406.50 = 579,406.50 : x
  2. Step 2: Convert to fraction form
    379,839.38/579,406.50 = 579,406.50/x
  3. Step 3: Cross multiply
    379,839.38x = 579,406.50 × 579,406.50
  4. Step 4: Simplify right side
    379,839.38x = 335,711,892,242.25
  5. Step 5: Solve for x
    x = 335,711,892,242.25/379,839.38
  6. Step 6: Final answer
    x = 883,825.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.