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Finding the Third Proportional to 284,347 and 601,310

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Solution

The third proportional to 284,347 and 601,310 is: 1,271,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,347 : 601,310 = 601,310 : x
  2. Step 2: Convert to fraction form
    284,347/601,310 = 601,310/x
  3. Step 3: Cross multiply
    284,347x = 601,310 × 601,310
  4. Step 4: Simplify right side
    284,347x = 361,573,716,100
  5. Step 5: Solve for x
    x = 361,573,716,100/284,347
  6. Step 6: Final answer
    x = 1,271,593.22

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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.