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Finding the Third Proportional to 324,123 and 706,728

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Solution

The third proportional to 324,123 and 706,728 is: 1,540,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,123 : 706,728 = 706,728 : x
  2. Step 2: Convert to fraction form
    324,123/706,728 = 706,728/x
  3. Step 3: Cross multiply
    324,123x = 706,728 × 706,728
  4. Step 4: Simplify right side
    324,123x = 499,464,465,984
  5. Step 5: Solve for x
    x = 499,464,465,984/324,123
  6. Step 6: Final answer
    x = 1,540,972.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.