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Finding the Third Proportional to 368,297 and 792,913

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Solution

The third proportional to 368,297 and 792,913 is: 1,707,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,297 : 792,913 = 792,913 : x
  2. Step 2: Convert to fraction form
    368,297/792,913 = 792,913/x
  3. Step 3: Cross multiply
    368,297x = 792,913 × 792,913
  4. Step 4: Simplify right side
    368,297x = 628,711,025,569
  5. Step 5: Solve for x
    x = 628,711,025,569/368,297
  6. Step 6: Final answer
    x = 1,707,076.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.