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Finding the Third Proportional to 388,124 and 617,180

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Solution

The third proportional to 388,124 and 617,180 is: 981,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,124 : 617,180 = 617,180 : x
  2. Step 2: Convert to fraction form
    388,124/617,180 = 617,180/x
  3. Step 3: Cross multiply
    388,124x = 617,180 × 617,180
  4. Step 4: Simplify right side
    388,124x = 380,911,152,400
  5. Step 5: Solve for x
    x = 380,911,152,400/388,124
  6. Step 6: Final answer
    x = 981,416.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.