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Finding the Third Proportional to 307,569 and 665,667

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Solution

The third proportional to 307,569 and 665,667 is: 1,440,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,569 : 665,667 = 665,667 : x
  2. Step 2: Convert to fraction form
    307,569/665,667 = 665,667/x
  3. Step 3: Cross multiply
    307,569x = 665,667 × 665,667
  4. Step 4: Simplify right side
    307,569x = 443,112,554,889
  5. Step 5: Solve for x
    x = 443,112,554,889/307,569
  6. Step 6: Final answer
    x = 1,440,693.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.