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Finding the Third Proportional to 388,403.25 and 830,775

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Solution

The third proportional to 388,403.25 and 830,775 is: 1,776,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,403.25 : 830,775 = 830,775 : x
  2. Step 2: Convert to fraction form
    388,403.25/830,775 = 830,775/x
  3. Step 3: Cross multiply
    388,403.25x = 830,775 × 830,775
  4. Step 4: Simplify right side
    388,403.25x = 690,187,100,625
  5. Step 5: Solve for x
    x = 690,187,100,625/388,403.25
  6. Step 6: Final answer
    x = 1,776,985.90

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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.