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Finding the Third Proportional to 284,137 and 441,146

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Solution

The third proportional to 284,137 and 441,146 is: 684,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,137 : 441,146 = 441,146 : x
  2. Step 2: Convert to fraction form
    284,137/441,146 = 441,146/x
  3. Step 3: Cross multiply
    284,137x = 441,146 × 441,146
  4. Step 4: Simplify right side
    284,137x = 194,609,793,316
  5. Step 5: Solve for x
    x = 194,609,793,316/284,137
  6. Step 6: Final answer
    x = 684,915.35

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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.