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Finding the Third Proportional to 284,132 and 441,138

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Solution

The third proportional to 284,132 and 441,138 is: 684,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,132 : 441,138 = 441,138 : x
  2. Step 2: Convert to fraction form
    284,132/441,138 = 441,138/x
  3. Step 3: Cross multiply
    284,132x = 441,138 × 441,138
  4. Step 4: Simplify right side
    284,132x = 194,602,735,044
  5. Step 5: Solve for x
    x = 194,602,735,044/284,132
  6. Step 6: Final answer
    x = 684,902.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.