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Finding the Third Proportional to 284,346 and 601,308

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Solution

The third proportional to 284,346 and 601,308 is: 1,271,589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,346 : 601,308 = 601,308 : x
  2. Step 2: Convert to fraction form
    284,346/601,308 = 601,308/x
  3. Step 3: Cross multiply
    284,346x = 601,308 × 601,308
  4. Step 4: Simplify right side
    284,346x = 361,571,310,864
  5. Step 5: Solve for x
    x = 361,571,310,864/284,346
  6. Step 6: Final answer
    x = 1,271,589.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.