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Finding the Third Proportional to 513,353 and 790,077

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Solution

The third proportional to 513,353 and 790,077 is: 1,215,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,353 : 790,077 = 790,077 : x
  2. Step 2: Convert to fraction form
    513,353/790,077 = 790,077/x
  3. Step 3: Cross multiply
    513,353x = 790,077 × 790,077
  4. Step 4: Simplify right side
    513,353x = 624,221,665,929
  5. Step 5: Solve for x
    x = 624,221,665,929/513,353
  6. Step 6: Final answer
    x = 1,215,969.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.