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Finding the Third Proportional to 376,661 and 558,475

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Solution

The third proportional to 376,661 and 558,475 is: 828,050.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,661 : 558,475 = 558,475 : x
  2. Step 2: Convert to fraction form
    376,661/558,475 = 558,475/x
  3. Step 3: Cross multiply
    376,661x = 558,475 × 558,475
  4. Step 4: Simplify right side
    376,661x = 311,894,325,625
  5. Step 5: Solve for x
    x = 311,894,325,625/376,661
  6. Step 6: Final answer
    x = 828,050.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.