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Finding the Third Proportional to 366,025 and 671,299

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Solution

The third proportional to 366,025 and 671,299 is: 1,231,179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,025 : 671,299 = 671,299 : x
  2. Step 2: Convert to fraction form
    366,025/671,299 = 671,299/x
  3. Step 3: Cross multiply
    366,025x = 671,299 × 671,299
  4. Step 4: Simplify right side
    366,025x = 450,642,347,401
  5. Step 5: Solve for x
    x = 450,642,347,401/366,025
  6. Step 6: Final answer
    x = 1,231,179.15

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.