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Finding the Third Proportional to 284,212 and 437,984

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Solution

The third proportional to 284,212 and 437,984 is: 674,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,212 : 437,984 = 437,984 : x
  2. Step 2: Convert to fraction form
    284,212/437,984 = 437,984/x
  3. Step 3: Cross multiply
    284,212x = 437,984 × 437,984
  4. Step 4: Simplify right side
    284,212x = 191,829,984,256
  5. Step 5: Solve for x
    x = 191,829,984,256/284,212
  6. Step 6: Final answer
    x = 674,953.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.