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Finding the Third Proportional to 284,059 and 611,035

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Solution

The third proportional to 284,059 and 611,035 is: 1,314,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,059 : 611,035 = 611,035 : x
  2. Step 2: Convert to fraction form
    284,059/611,035 = 611,035/x
  3. Step 3: Cross multiply
    284,059x = 611,035 × 611,035
  4. Step 4: Simplify right side
    284,059x = 373,363,771,225
  5. Step 5: Solve for x
    x = 373,363,771,225/284,059
  6. Step 6: Final answer
    x = 1,314,388.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.