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Finding the Third Proportional to 284,024 and 612,316

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Solution

The third proportional to 284,024 and 612,316 is: 1,320,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,024 : 612,316 = 612,316 : x
  2. Step 2: Convert to fraction form
    284,024/612,316 = 612,316/x
  3. Step 3: Cross multiply
    284,024x = 612,316 × 612,316
  4. Step 4: Simplify right side
    284,024x = 374,930,883,856
  5. Step 5: Solve for x
    x = 374,930,883,856/284,024
  6. Step 6: Final answer
    x = 1,320,067.61

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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.