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Finding the Third Proportional to 284,333 and 612,406

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Solution

The third proportional to 284,333 and 612,406 is: 1,319,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,333 : 612,406 = 612,406 : x
  2. Step 2: Convert to fraction form
    284,333/612,406 = 612,406/x
  3. Step 3: Cross multiply
    284,333x = 612,406 × 612,406
  4. Step 4: Simplify right side
    284,333x = 375,041,108,836
  5. Step 5: Solve for x
    x = 375,041,108,836/284,333
  6. Step 6: Final answer
    x = 1,319,020.69

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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.