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Finding the Third Proportional to 312,420.75 and 646,994.25

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Solution

The third proportional to 312,420.75 and 646,994.25 is: 1,339,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,420.75 : 646,994.25 = 646,994.25 : x
  2. Step 2: Convert to fraction form
    312,420.75/646,994.25 = 646,994.25/x
  3. Step 3: Cross multiply
    312,420.75x = 646,994.25 × 646,994.25
  4. Step 4: Simplify right side
    312,420.75x = 418,601,559,533.06
  5. Step 5: Solve for x
    x = 418,601,559,533.06/312,420.75
  6. Step 6: Final answer
    x = 1,339,864.78

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.