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Finding the Third Proportional to 388,239.75 and 830,454.75

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Solution

The third proportional to 388,239.75 and 830,454.75 is: 1,776,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,239.75 : 830,454.75 = 830,454.75 : x
  2. Step 2: Convert to fraction form
    388,239.75/830,454.75 = 830,454.75/x
  3. Step 3: Cross multiply
    388,239.75x = 830,454.75 × 830,454.75
  4. Step 4: Simplify right side
    388,239.75x = 689,655,091,797.56
  5. Step 5: Solve for x
    x = 689,655,091,797.56/388,239.75
  6. Step 6: Final answer
    x = 1,776,363.94

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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.