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Finding the Third Proportional to 284,148 and 656,100

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Solution

The third proportional to 284,148 and 656,100 is: 1,514,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,148 : 656,100 = 656,100 : x
  2. Step 2: Convert to fraction form
    284,148/656,100 = 656,100/x
  3. Step 3: Cross multiply
    284,148x = 656,100 × 656,100
  4. Step 4: Simplify right side
    284,148x = 430,467,210,000
  5. Step 5: Solve for x
    x = 430,467,210,000/284,148
  6. Step 6: Final answer
    x = 1,514,940.14

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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.