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Finding the Third Proportional to 284,370 and 427,284

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Solution

The third proportional to 284,370 and 427,284 is: 642,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,370 : 427,284 = 427,284 : x
  2. Step 2: Convert to fraction form
    284,370/427,284 = 427,284/x
  3. Step 3: Cross multiply
    284,370x = 427,284 × 427,284
  4. Step 4: Simplify right side
    284,370x = 182,571,616,656
  5. Step 5: Solve for x
    x = 182,571,616,656/284,370
  6. Step 6: Final answer
    x = 642,021.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.