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Finding the Third Proportional to 388,400.06 and 830,769.75

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Solution

The third proportional to 388,400.06 and 830,769.75 is: 1,776,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,400.06 : 830,769.75 = 830,769.75 : x
  2. Step 2: Convert to fraction form
    388,400.06/830,769.75 = 830,769.75/x
  3. Step 3: Cross multiply
    388,400.06x = 830,769.75 × 830,769.75
  4. Step 4: Simplify right side
    388,400.06x = 690,178,377,515.06
  5. Step 5: Solve for x
    x = 690,178,377,515.06/388,400.06
  6. Step 6: Final answer
    x = 1,776,978.03

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Why These Related Problems?

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