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Finding the Third Proportional to 284,229 and 410,628

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Solution

The third proportional to 284,229 and 410,628 is: 593,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,229 : 410,628 = 410,628 : x
  2. Step 2: Convert to fraction form
    284,229/410,628 = 410,628/x
  3. Step 3: Cross multiply
    284,229x = 410,628 × 410,628
  4. Step 4: Simplify right side
    284,229x = 168,615,354,384
  5. Step 5: Solve for x
    x = 168,615,354,384/284,229
  6. Step 6: Final answer
    x = 593,237.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.