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Finding the Third Proportional to 368,044 and 792,463

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Solution

The third proportional to 368,044 and 792,463 is: 1,706,311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,044 : 792,463 = 792,463 : x
  2. Step 2: Convert to fraction form
    368,044/792,463 = 792,463/x
  3. Step 3: Cross multiply
    368,044x = 792,463 × 792,463
  4. Step 4: Simplify right side
    368,044x = 627,997,606,369
  5. Step 5: Solve for x
    x = 627,997,606,369/368,044
  6. Step 6: Final answer
    x = 1,706,311.22

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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.