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Finding the Third Proportional to 388,962 and 844,317

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Solution

The third proportional to 388,962 and 844,317 is: 1,832,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,962 : 844,317 = 844,317 : x
  2. Step 2: Convert to fraction form
    388,962/844,317 = 844,317/x
  3. Step 3: Cross multiply
    388,962x = 844,317 × 844,317
  4. Step 4: Simplify right side
    388,962x = 712,871,196,489
  5. Step 5: Solve for x
    x = 712,871,196,489/388,962
  6. Step 6: Final answer
    x = 1,832,752.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.