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Finding the Third Proportional to 284,154 and 656,115

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Solution

The third proportional to 284,154 and 656,115 is: 1,514,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,154 : 656,115 = 656,115 : x
  2. Step 2: Convert to fraction form
    284,154/656,115 = 656,115/x
  3. Step 3: Cross multiply
    284,154x = 656,115 × 656,115
  4. Step 4: Simplify right side
    284,154x = 430,486,893,225
  5. Step 5: Solve for x
    x = 430,486,893,225/284,154
  6. Step 6: Final answer
    x = 1,514,977.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.