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Finding the Third Proportional to 388,244.25 and 830,463.75

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Solution

The third proportional to 388,244.25 and 830,463.75 is: 1,776,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,244.25 : 830,463.75 = 830,463.75 : x
  2. Step 2: Convert to fraction form
    388,244.25/830,463.75 = 830,463.75/x
  3. Step 3: Cross multiply
    388,244.25x = 830,463.75 × 830,463.75
  4. Step 4: Simplify right side
    388,244.25x = 689,670,040,064.06
  5. Step 5: Solve for x
    x = 689,670,040,064.06/388,244.25
  6. Step 6: Final answer
    x = 1,776,381.85

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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.