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Finding the Third Proportional to 281,463.94 and 574,389.38

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Solution

The third proportional to 281,463.94 and 574,389.38 is: 1,172,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,463.94 : 574,389.38 = 574,389.38 : x
  2. Step 2: Convert to fraction form
    281,463.94/574,389.38 = 574,389.38/x
  3. Step 3: Cross multiply
    281,463.94x = 574,389.38 × 574,389.38
  4. Step 4: Simplify right side
    281,463.94x = 329,923,154,112.89
  5. Step 5: Solve for x
    x = 329,923,154,112.89/281,463.94
  6. Step 6: Final answer
    x = 1,172,168.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.