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Finding the Third Proportional to 382,792 and 587,580

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Solution

The third proportional to 382,792 and 587,580 is: 901,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,792 : 587,580 = 587,580 : x
  2. Step 2: Convert to fraction form
    382,792/587,580 = 587,580/x
  3. Step 3: Cross multiply
    382,792x = 587,580 × 587,580
  4. Step 4: Simplify right side
    382,792x = 345,250,256,400
  5. Step 5: Solve for x
    x = 345,250,256,400/382,792
  6. Step 6: Final answer
    x = 901,926.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.