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Finding the Third Proportional to 388,399.50 and 830,770.88

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Solution

The third proportional to 388,399.50 and 830,770.88 is: 1,776,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,399.50 : 830,770.88 = 830,770.88 : x
  2. Step 2: Convert to fraction form
    388,399.50/830,770.88 = 830,770.88/x
  3. Step 3: Cross multiply
    388,399.50x = 830,770.88 × 830,770.88
  4. Step 4: Simplify right side
    388,399.50x = 690,180,246,748.27
  5. Step 5: Solve for x
    x = 690,180,246,748.27/388,399.50
  6. Step 6: Final answer
    x = 1,776,985.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.