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Finding the Third Proportional to 379,754 and 590,367

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Solution

The third proportional to 379,754 and 590,367 is: 917,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,754 : 590,367 = 590,367 : x
  2. Step 2: Convert to fraction form
    379,754/590,367 = 590,367/x
  3. Step 3: Cross multiply
    379,754x = 590,367 × 590,367
  4. Step 4: Simplify right side
    379,754x = 348,533,194,689
  5. Step 5: Solve for x
    x = 348,533,194,689/379,754
  6. Step 6: Final answer
    x = 917,786.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.