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Finding the Third Proportional to 284,042 and 612,370

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Solution

The third proportional to 284,042 and 612,370 is: 1,320,216.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,042 : 612,370 = 612,370 : x
  2. Step 2: Convert to fraction form
    284,042/612,370 = 612,370/x
  3. Step 3: Cross multiply
    284,042x = 612,370 × 612,370
  4. Step 4: Simplify right side
    284,042x = 374,997,016,900
  5. Step 5: Solve for x
    x = 374,997,016,900/284,042
  6. Step 6: Final answer
    x = 1,320,216.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.