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Finding the Third Proportional to 351,816 and 686,134.50

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Solution

The third proportional to 351,816 and 686,134.50 is: 1,338,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,816 : 686,134.50 = 686,134.50 : x
  2. Step 2: Convert to fraction form
    351,816/686,134.50 = 686,134.50/x
  3. Step 3: Cross multiply
    351,816x = 686,134.50 × 686,134.50
  4. Step 4: Simplify right side
    351,816x = 470,780,552,090.25
  5. Step 5: Solve for x
    x = 470,780,552,090.25/351,816
  6. Step 6: Final answer
    x = 1,338,144.23

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.