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Finding the Third Proportional to 384,261.75 and 573,270.75

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Solution

The third proportional to 384,261.75 and 573,270.75 is: 855,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,261.75 : 573,270.75 = 573,270.75 : x
  2. Step 2: Convert to fraction form
    384,261.75/573,270.75 = 573,270.75/x
  3. Step 3: Cross multiply
    384,261.75x = 573,270.75 × 573,270.75
  4. Step 4: Simplify right side
    384,261.75x = 328,639,352,805.56
  5. Step 5: Solve for x
    x = 328,639,352,805.56/384,261.75
  6. Step 6: Final answer
    x = 855,248.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.