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Finding the Third Proportional to 513,376 and 790,112

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Solution

The third proportional to 513,376 and 790,112 is: 1,216,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,376 : 790,112 = 790,112 : x
  2. Step 2: Convert to fraction form
    513,376/790,112 = 790,112/x
  3. Step 3: Cross multiply
    513,376x = 790,112 × 790,112
  4. Step 4: Simplify right side
    513,376x = 624,276,972,544
  5. Step 5: Solve for x
    x = 624,276,972,544/513,376
  6. Step 6: Final answer
    x = 1,216,022.90

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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.