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Finding the Third Proportional to 558,919 and 790,102

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Solution

The third proportional to 558,919 and 790,102 is: 1,116,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,919 : 790,102 = 790,102 : x
  2. Step 2: Convert to fraction form
    558,919/790,102 = 790,102/x
  3. Step 3: Cross multiply
    558,919x = 790,102 × 790,102
  4. Step 4: Simplify right side
    558,919x = 624,261,170,404
  5. Step 5: Solve for x
    x = 624,261,170,404/558,919
  6. Step 6: Final answer
    x = 1,116,908.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.