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Finding the Third Proportional to 388,172.25 and 844,688.25

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Solution

The third proportional to 388,172.25 and 844,688.25 is: 1,838,096.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,172.25 : 844,688.25 = 844,688.25 : x
  2. Step 2: Convert to fraction form
    388,172.25/844,688.25 = 844,688.25/x
  3. Step 3: Cross multiply
    388,172.25x = 844,688.25 × 844,688.25
  4. Step 4: Simplify right side
    388,172.25x = 713,498,239,688.06
  5. Step 5: Solve for x
    x = 713,498,239,688.06/388,172.25
  6. Step 6: Final answer
    x = 1,838,096.98

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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.