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Finding the Third Proportional to 305,962 and 671,024

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Solution

The third proportional to 305,962 and 671,024 is: 1,471,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,962 : 671,024 = 671,024 : x
  2. Step 2: Convert to fraction form
    305,962/671,024 = 671,024/x
  3. Step 3: Cross multiply
    305,962x = 671,024 × 671,024
  4. Step 4: Simplify right side
    305,962x = 450,273,208,576
  5. Step 5: Solve for x
    x = 450,273,208,576/305,962
  6. Step 6: Final answer
    x = 1,471,663.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.