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Finding the Third Proportional to 388,177.50 and 844,699.50

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Solution

The third proportional to 388,177.50 and 844,699.50 is: 1,838,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,177.50 : 844,699.50 = 844,699.50 : x
  2. Step 2: Convert to fraction form
    388,177.50/844,699.50 = 844,699.50/x
  3. Step 3: Cross multiply
    388,177.50x = 844,699.50 × 844,699.50
  4. Step 4: Simplify right side
    388,177.50x = 713,517,245,300.25
  5. Step 5: Solve for x
    x = 713,517,245,300.25/388,177.50
  6. Step 6: Final answer
    x = 1,838,121.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.