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Finding the Third Proportional to 374,824 and 576,573

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Solution

The third proportional to 374,824 and 576,573 is: 886,913.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,824 : 576,573 = 576,573 : x
  2. Step 2: Convert to fraction form
    374,824/576,573 = 576,573/x
  3. Step 3: Cross multiply
    374,824x = 576,573 × 576,573
  4. Step 4: Simplify right side
    374,824x = 332,436,424,329
  5. Step 5: Solve for x
    x = 332,436,424,329/374,824
  6. Step 6: Final answer
    x = 886,913.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.