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Finding the Third Proportional to 251,284 and 388,591

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Solution

The third proportional to 251,284 and 388,591 is: 600,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,284 : 388,591 = 388,591 : x
  2. Step 2: Convert to fraction form
    251,284/388,591 = 388,591/x
  3. Step 3: Cross multiply
    251,284x = 388,591 × 388,591
  4. Step 4: Simplify right side
    251,284x = 151,002,965,281
  5. Step 5: Solve for x
    x = 151,002,965,281/251,284
  6. Step 6: Final answer
    x = 600,925.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.