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Finding the Third Proportional to 369,864 and 541,620

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Solution

The third proportional to 369,864 and 541,620 is: 793,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,864 : 541,620 = 541,620 : x
  2. Step 2: Convert to fraction form
    369,864/541,620 = 541,620/x
  3. Step 3: Cross multiply
    369,864x = 541,620 × 541,620
  4. Step 4: Simplify right side
    369,864x = 293,352,224,400
  5. Step 5: Solve for x
    x = 293,352,224,400/369,864
  6. Step 6: Final answer
    x = 793,135.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.