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Finding the Third Proportional to 384,304.50 and 577,692

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Solution

The third proportional to 384,304.50 and 577,692 is: 868,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,304.50 : 577,692 = 577,692 : x
  2. Step 2: Convert to fraction form
    384,304.50/577,692 = 577,692/x
  3. Step 3: Cross multiply
    384,304.50x = 577,692 × 577,692
  4. Step 4: Simplify right side
    384,304.50x = 333,728,046,864
  5. Step 5: Solve for x
    x = 333,728,046,864/384,304.50
  6. Step 6: Final answer
    x = 868,394.85

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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.