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Finding the Third Proportional to 384,185.25 and 563,821.88

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Solution

The third proportional to 384,185.25 and 563,821.88 is: 827,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,185.25 : 563,821.88 = 563,821.88 : x
  2. Step 2: Convert to fraction form
    384,185.25/563,821.88 = 563,821.88/x
  3. Step 3: Cross multiply
    384,185.25x = 563,821.88 × 563,821.88
  4. Step 4: Simplify right side
    384,185.25x = 317,895,106,728.52
  5. Step 5: Solve for x
    x = 317,895,106,728.52/384,185.25
  6. Step 6: Final answer
    x = 827,452.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.