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Finding the Third Proportional to 368,969 and 796,076

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Solution

The third proportional to 368,969 and 796,076 is: 1,717,588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,969 : 796,076 = 796,076 : x
  2. Step 2: Convert to fraction form
    368,969/796,076 = 796,076/x
  3. Step 3: Cross multiply
    368,969x = 796,076 × 796,076
  4. Step 4: Simplify right side
    368,969x = 633,736,997,776
  5. Step 5: Solve for x
    x = 633,736,997,776/368,969
  6. Step 6: Final answer
    x = 1,717,588.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.