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Finding the Third Proportional to 465,222 and 670,722

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Solution

The third proportional to 465,222 and 670,722 is: 966,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,222 : 670,722 = 670,722 : x
  2. Step 2: Convert to fraction form
    465,222/670,722 = 670,722/x
  3. Step 3: Cross multiply
    465,222x = 670,722 × 670,722
  4. Step 4: Simplify right side
    465,222x = 449,868,001,284
  5. Step 5: Solve for x
    x = 449,868,001,284/465,222
  6. Step 6: Final answer
    x = 966,996.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.