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Finding the Third Proportional to 284,624 and 611,460

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Solution

The third proportional to 284,624 and 611,460 is: 1,313,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,624 : 611,460 = 611,460 : x
  2. Step 2: Convert to fraction form
    284,624/611,460 = 611,460/x
  3. Step 3: Cross multiply
    284,624x = 611,460 × 611,460
  4. Step 4: Simplify right side
    284,624x = 373,883,331,600
  5. Step 5: Solve for x
    x = 373,883,331,600/284,624
  6. Step 6: Final answer
    x = 1,313,604.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.