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Finding the Third Proportional to 321,066 and 703,032

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Solution

The third proportional to 321,066 and 703,032 is: 1,539,415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,066 : 703,032 = 703,032 : x
  2. Step 2: Convert to fraction form
    321,066/703,032 = 703,032/x
  3. Step 3: Cross multiply
    321,066x = 703,032 × 703,032
  4. Step 4: Simplify right side
    321,066x = 494,253,993,024
  5. Step 5: Solve for x
    x = 494,253,993,024/321,066
  6. Step 6: Final answer
    x = 1,539,415.55

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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.