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Finding the Third Proportional to 321,795 and 698,946.75

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Solution

The third proportional to 321,795 and 698,946.75 is: 1,518,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,795 : 698,946.75 = 698,946.75 : x
  2. Step 2: Convert to fraction form
    321,795/698,946.75 = 698,946.75/x
  3. Step 3: Cross multiply
    321,795x = 698,946.75 × 698,946.75
  4. Step 4: Simplify right side
    321,795x = 488,526,559,335.56
  5. Step 5: Solve for x
    x = 488,526,559,335.56/321,795
  6. Step 6: Final answer
    x = 1,518,129.74

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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.