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Finding the Third Proportional to 388,168.88 and 844,681.50

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Solution

The third proportional to 388,168.88 and 844,681.50 is: 1,838,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,168.88 : 844,681.50 = 844,681.50 : x
  2. Step 2: Convert to fraction form
    388,168.88/844,681.50 = 844,681.50/x
  3. Step 3: Cross multiply
    388,168.88x = 844,681.50 × 844,681.50
  4. Step 4: Simplify right side
    388,168.88x = 713,486,836,442.25
  5. Step 5: Solve for x
    x = 713,486,836,442.25/388,168.88
  6. Step 6: Final answer
    x = 1,838,083.58

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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.