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Finding the Third Proportional to 284,152 and 656,110

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Solution

The third proportional to 284,152 and 656,110 is: 1,514,964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,152 : 656,110 = 656,110 : x
  2. Step 2: Convert to fraction form
    284,152/656,110 = 656,110/x
  3. Step 3: Cross multiply
    284,152x = 656,110 × 656,110
  4. Step 4: Simplify right side
    284,152x = 430,480,332,100
  5. Step 5: Solve for x
    x = 430,480,332,100/284,152
  6. Step 6: Final answer
    x = 1,514,964.99

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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.