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Finding the Third Proportional to 513,150 and 796,494

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Solution

The third proportional to 513,150 and 796,494 is: 1,236,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,150 : 796,494 = 796,494 : x
  2. Step 2: Convert to fraction form
    513,150/796,494 = 796,494/x
  3. Step 3: Cross multiply
    513,150x = 796,494 × 796,494
  4. Step 4: Simplify right side
    513,150x = 634,402,692,036
  5. Step 5: Solve for x
    x = 634,402,692,036/513,150
  6. Step 6: Final answer
    x = 1,236,290.93

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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.