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Finding the Third Proportional to 376,576 and 573,684

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Solution

The third proportional to 376,576 and 573,684 is: 873,962.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,576 : 573,684 = 573,684 : x
  2. Step 2: Convert to fraction form
    376,576/573,684 = 573,684/x
  3. Step 3: Cross multiply
    376,576x = 573,684 × 573,684
  4. Step 4: Simplify right side
    376,576x = 329,113,331,856
  5. Step 5: Solve for x
    x = 329,113,331,856/376,576
  6. Step 6: Final answer
    x = 873,962.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.