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Finding the Third Proportional to 321,120 and 705,798

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Solution

The third proportional to 321,120 and 705,798 is: 1,551,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,120 : 705,798 = 705,798 : x
  2. Step 2: Convert to fraction form
    321,120/705,798 = 705,798/x
  3. Step 3: Cross multiply
    321,120x = 705,798 × 705,798
  4. Step 4: Simplify right side
    321,120x = 498,150,816,804
  5. Step 5: Solve for x
    x = 498,150,816,804/321,120
  6. Step 6: Final answer
    x = 1,551,291.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.