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Finding the Third Proportional to 384,291 and 577,674

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Solution

The third proportional to 384,291 and 577,674 is: 868,371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,291 : 577,674 = 577,674 : x
  2. Step 2: Convert to fraction form
    384,291/577,674 = 577,674/x
  3. Step 3: Cross multiply
    384,291x = 577,674 × 577,674
  4. Step 4: Simplify right side
    384,291x = 333,707,250,276
  5. Step 5: Solve for x
    x = 333,707,250,276/384,291
  6. Step 6: Final answer
    x = 868,371.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.