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Finding the Third Proportional to 322,076 and 699,648

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Solution

The third proportional to 322,076 and 699,648 is: 1,519,850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,076 : 699,648 = 699,648 : x
  2. Step 2: Convert to fraction form
    322,076/699,648 = 699,648/x
  3. Step 3: Cross multiply
    322,076x = 699,648 × 699,648
  4. Step 4: Simplify right side
    322,076x = 489,507,323,904
  5. Step 5: Solve for x
    x = 489,507,323,904/322,076
  6. Step 6: Final answer
    x = 1,519,850.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.